diff --git a/HexIntervalMathlib/Experiment/PntBKLNWExp.lean b/HexIntervalMathlib/Experiment/PntBKLNWExp.lean
index d9b6f82278..f2cfca9183 100644
--- a/HexIntervalMathlib/Experiment/PntBKLNWExp.lean
+++ b/HexIntervalMathlib/Experiment/PntBKLNWExp.lean
@@ -192,7 +192,6 @@ theorem expSumWithTail {b N : Nat} (atLeast : 64 ≤ N) :
       _ = ((N - 63 : Nat) : ℝ) * upperBaseValue 64 ^ b := by
         congr 2
         norm_num [Nat.card_Icc]
-        omega
   constructor
   · calc
       1 + lowerBand b 63 ≤
diff --git a/HexIntervalMathlib/Experiment/PntBKLNWPow.lean b/HexIntervalMathlib/Experiment/PntBKLNWPow.lean
index b055634d03..97452de716 100644
--- a/HexIntervalMathlib/Experiment/PntBKLNWPow.lean
+++ b/HexIntervalMathlib/Experiment/PntBKLNWPow.lean
@@ -110,7 +110,6 @@ theorem powSumUpper {M a b : Nat} (hM : 5 ≤ M)
     _ = ((M - 4 : Nat) : ℝ) / (2 : ℝ) ^ b := by
       congr 2
       norm_num [Nat.card_Icc]
-      omega
 
 private theorem alphaRatio :
     (1 + 193571378 / (10 : ℝ) ^ 16) =
@@ -317,7 +316,6 @@ theorem finePowSumUpper {M : Nat} (hM : 21 ≤ M) :
       _ = ((M - 20 : Nat) : ℝ) * baseValue 21 ^ M := by
         congr 2
         norm_num [Nat.card_Icc]
-        omega
 
 private theorem exactBaseRatio (M : Nat) :
     exactBaseSum M =
diff --git a/HexIntervalMathlib/Experiment/PntTable10A2.lean b/HexIntervalMathlib/Experiment/PntTable10A2.lean
index 9ae7de7eaa..d1e53ab60b 100644
--- a/HexIntervalMathlib/Experiment/PntTable10A2.lean
+++ b/HexIntervalMathlib/Experiment/PntTable10A2.lean
@@ -210,7 +210,6 @@ private theorem expSumUpper (value : Certificate) (valid : Valid value) :
           PntBKLNWExp.upperBaseValue 13 ^ value.argument := by
         congr 2
         norm_num [Nat.card_Icc, tailCardinality]
-        omega
   linarith
 
 private theorem sourceExpLeSucc (value : Certificate) (valid : Valid value) :
diff --git a/HexMatrixMathlib/Hadamard.lean b/HexMatrixMathlib/Hadamard.lean
index 15bd050448..d3f1f32c95 100644
--- a/HexMatrixMathlib/Hadamard.lean
+++ b/HexMatrixMathlib/Hadamard.lean
@@ -96,7 +96,7 @@ theorem norm_det_le_prod_norm_column (A : Matrix n n 𝕜) :
   -- Cauchy-Schwarz on each diagonal factor.
   have hbound : ‖e.toBasis.det f‖ ≤ ∏ j, ‖f j‖ := by
     rw [hdet, norm_prod]
-    refine Finset.prod_le_prod (fun i _ => norm_nonneg _) (fun i _ => ?_)
+    refine Finset.prod_le_prod₀ (fun i _ => norm_nonneg _) (fun i _ => ?_)
     calc ‖inner 𝕜 (e i) (f i)‖ ≤ ‖e i‖ * ‖f i‖ := norm_inner_le_norm _ _
       _ = ‖f i‖ := by rw [e.orthonormal.norm_eq_one, one_mul]
   calc ‖A.det‖ = ‖e.toBasis.det f‖ := hchange.symm
diff --git a/HexMatrixMathlib/Literal.lean b/HexMatrixMathlib/Literal.lean
index 1b6a2d212a..14eb430746 100644
--- a/HexMatrixMathlib/Literal.lean
+++ b/HexMatrixMathlib/Literal.lean
@@ -281,7 +281,7 @@ def evalEntry (e : Expr) : MetaM Rat := do
   catch _ =>
     let ctx ← Simp.mkContext (config := { decide := true })
       (simpTheorems := #[← getSimpTheorems]) (congrTheorems := ← getSimpCongrTheorems)
-    let r ← Mathlib.Meta.NormNum.deriveSimp ctx true e
+    let r ← Mathlib.Meta.NormNum.deriveSimp ctx #[] true e
     Mathlib.Tactic.Echelon.evalRatEntry true r.expr
 
 /-- Evaluate every entry to a rational. -/
diff --git a/HexModularMatrixMathlib/Bound.lean b/HexModularMatrixMathlib/Bound.lean
index 7704fe4387..3d20de2dff 100644
--- a/HexModularMatrixMathlib/Bound.lean
+++ b/HexModularMatrixMathlib/Bound.lean
@@ -50,7 +50,7 @@ private theorem column_bound (A : Hex.Matrix Int n n) :
     exact_mod_cast HexArith.Nat.le_ceilSqrt_sq
       (Hex.Matrix.DetBound.sum (fun i : Fin n => A[(i, j)].natAbs ^ 2))
   have h := (Matrix.norm_det_le_prod_norm_column B).trans
-    (Finset.prod_le_prod (fun _ _ => Real.sqrt_nonneg _) (fun j _ => hc j))
+    (Finset.prod_le_prod₀ (fun _ _ => Real.sqrt_nonneg _) (fun j _ => hc j))
   rw [hd] at h
   rw [prod_eq]
   exact_mod_cast (by simpa only [Nat.cast_natAbs, Int.cast_abs, Real.norm_eq_abs, Nat.cast_prod] using h :
diff --git a/HexMvPolyMathlib/Equiv.lean b/HexMvPolyMathlib/Equiv.lean
index 070eeca179..6859f41831 100644
--- a/HexMvPolyMathlib/Equiv.lean
+++ b/HexMvPolyMathlib/Equiv.lean
@@ -152,7 +152,7 @@ theorem toMvPolynomial_eq_sum [CommSemiring R] [DecidableEq R]
 /-- Forward conversion preserves every coefficient. -/
 @[simp] theorem coeff_toMvPolynomial [CommSemiring R] [DecidableEq R]
     (m : Mono n) (p : MvPoly n R cmp) :
-    MvPolynomial.coeff (monoEquiv m) (toMvPolynomial p) = coeff m p := by
+    (toMvPolynomial p).coeff (monoEquiv m) = coeff m p := by
   rw [toMvPolynomial, MvPolynomial.coeff_sum]
   simp [MvPolynomial.coeff_monomial, monoEquiv.injective.eq_iff,
     mem_monomials_iff, eq_comm]
@@ -243,13 +243,13 @@ polynomial's finite support. -/
 def ofMvPolynomial [CommSemiring R] [DecidableEq R]
     (p : MvPolynomial (Fin n) R) : MvPoly n R cmp :=
   ofTerms <| p.support.toList.map fun d =>
-    (monoEquiv.symm d, MvPolynomial.coeff d p)
+    (monoEquiv.symm d, p.coeff d)
 
 /-- Backward conversion preserves every coefficient. -/
 @[simp] theorem coeff_ofMvPolynomial [CommSemiring R] [DecidableEq R]
     (m : Mono n) (p : MvPolynomial (Fin n) R) :
     coeff m (ofMvPolynomial (cmp := cmp) p) =
-      MvPolynomial.coeff (monoEquiv m) p := by
+      p.coeff (monoEquiv m) := by
   rw [ofMvPolynomial, coeff_ofTerms]
   rw [List.foldl_filter, List.foldl_map]
   simp only [Equiv.symm_apply_eq]
@@ -276,9 +276,9 @@ def ofMvPolynomial [CommSemiring R] [DecidableEq R]
         · have hqd : q ≠ d := Ne.symm hdq
           rw [ite_eq_right (by simp [hdq]), ih hds]
           simp [hqd]
-  rw [fold_pick (monoEquiv m) (fun d => MvPolynomial.coeff d p)
+  rw [fold_pick (monoEquiv m) (fun d => p.coeff d)
     p.support.toList p.support.nodup_toList]
-  by_cases hcoeff : MvPolynomial.coeff (monoEquiv m) p = 0
+  by_cases hcoeff : p.coeff (monoEquiv m) = 0
   · simp [hcoeff]
   · simp [hcoeff]
 
diff --git a/HexMvPolyMathlib/Recursive.lean b/HexMvPolyMathlib/Recursive.lean
index c634a84e2c..4139ca4086 100644
--- a/HexMvPolyMathlib/Recursive.lean
+++ b/HexMvPolyMathlib/Recursive.lean
@@ -85,7 +85,7 @@ theorem recursiveMap_injective [CommSemiring R] [DecidableEq R] :
   intro m
   have hc := congrArg
     (fun f =>
-      MvPolynomial.coeff (monoEquiv m) (Polynomial.coeff f e)) h
+      (Polynomial.coeff f e).coeff (monoEquiv m)) h
   simpa [recursiveMap] using hc
 
 /-- The comparison map preserves zero. -/
diff --git a/HexNumberFieldMathlib/Interval.lean b/HexNumberFieldMathlib/Interval.lean
index 251f8788c8..febf2bc4c0 100644
--- a/HexNumberFieldMathlib/Interval.lean
+++ b/HexNumberFieldMathlib/Interval.lean
@@ -14,10 +14,10 @@ open HexRootsMathlib
 
 /-- Both coordinate projections lie in the dyadic radius bounds. -/
 theorem bounds {p : ZPoly} (a : RefinedIsolation p) :
-    (Dyadic.toReal (a.1.square.re - a.1.square.radiusHi) ≤ a.root.re ∧
-      a.root.re ≤ Dyadic.toReal (a.1.square.re + a.1.square.radiusHi)) ∧
-    (Dyadic.toReal (a.1.square.im - a.1.square.radiusHi) ≤ a.root.im ∧
-      a.root.im ≤ Dyadic.toReal (a.1.square.im + a.1.square.radiusHi)) := by
+    (HexRootsMathlib.Dyadic.toReal (a.1.square.re - a.1.square.radiusHi) ≤ a.root.re ∧
+      a.root.re ≤ HexRootsMathlib.Dyadic.toReal (a.1.square.re + a.1.square.radiusHi)) ∧
+    (HexRootsMathlib.Dyadic.toReal (a.1.square.im - a.1.square.radiusHi) ≤ a.root.im ∧
+      a.root.im ≤ HexRootsMathlib.Dyadic.toReal (a.1.square.im + a.1.square.radiusHi)) := by
   have hd := RefinedIsolation.root_mem_closedDisc a
   change dist a.root (HexRootsMathlib.DyadicSquare.center a.1.square) ≤ HexRootsMathlib.DyadicSquare.radius a.1.square at hd
   rw [dist_eq_norm] at hd
@@ -27,7 +27,7 @@ theorem bounds {p : ZPoly} (a : RefinedIsolation p) :
     (hd.trans (DyadicSquare.radius_lt_radiusHi _).le)
   simp only [Complex.sub_re, Complex.sub_im, DyadicSquare.center_eq,
     Hex.DyadicSquare.center, GaussDyadic.toComplex] at hre him
-  simp only [Dyadic.toReal_sub, Dyadic.toReal_add]
+  simp only [HexRootsMathlib.Dyadic.toReal_sub, HexRootsMathlib.Dyadic.toReal_add]
   obtain ⟨hrl, hru⟩ := abs_le.mp hre
   obtain ⟨hil, hiu⟩ := abs_le.mp him
   constructor <;> constructor <;> linarith
@@ -42,12 +42,12 @@ theorem realOrder?_sound {p q : ZPoly} (a : RefinedIsolation p) (b : RefinedIsol
   split at h
   · rename_i hlt
     have : a.root.re < b.root.re := lt_of_le_of_lt ha.1.2
-      ((Dyadic.toReal_lt_toReal_iff.mpr hlt).trans_le hb.1.1)
+      ((HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mpr hlt).trans_le hb.1.1)
     exact (compare_lt_iff_lt.mpr this).trans (Option.some.inj h)
   · split at h
     · rename_i hgt
       have : b.root.re < a.root.re := lt_of_le_of_lt hb.1.2
-        ((Dyadic.toReal_lt_toReal_iff.mpr hgt).trans_le ha.1.1)
+        ((HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mpr hgt).trans_le ha.1.1)
       exact (compare_gt_iff_gt.mpr this).trans (Option.some.inj h)
     · contradiction
 
@@ -58,8 +58,8 @@ theorem imagApart_sound {p q : ZPoly} (a : RefinedIsolation p) (b : RefinedIsola
   have hb := (bounds b).2
   simp only [imagApart, Bool.or_eq_true, decide_eq_true_eq] at h
   rcases h with h | h
-  · exact ne_of_lt (ha.2.trans_lt ((Dyadic.toReal_lt_toReal_iff.mpr h).trans_le hb.1))
-  · exact ne_of_gt (hb.2.trans_lt ((Dyadic.toReal_lt_toReal_iff.mpr h).trans_le ha.1))
+  · exact ne_of_lt (ha.2.trans_lt ((HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mpr h).trans_le hb.1))
+  · exact ne_of_gt (hb.2.trans_lt ((HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mpr h).trans_le ha.1))
 
 /-- A strict-order rejection is sound. -/
 theorem notLt_sound {p q : ZPoly} (a : RefinedIsolation p) (b : RefinedIsolation q)
@@ -67,7 +67,7 @@ theorem notLt_sound {p q : ZPoly} (a : RefinedIsolation p) (b : RefinedIsolation
   have ha := (bounds a).1
   have hb := (bounds b).1
   simp only [notLt, decide_eq_true_eq] at h
-  exact not_lt_of_ge (hb.2.trans ((Dyadic.toReal_le_toReal_iff.mpr h).trans ha.1))
+  exact not_lt_of_ge (hb.2.trans ((HexRootsMathlib.Dyadic.toReal_le_toReal_iff.mpr h).trans ha.1))
 
 /-- A non-strict-order rejection is sound. -/
 theorem notLe_sound {p q : ZPoly} (a : RefinedIsolation p) (b : RefinedIsolation q)
@@ -75,7 +75,7 @@ theorem notLe_sound {p q : ZPoly} (a : RefinedIsolation p) (b : RefinedIsolation
   have ha := (bounds a).1
   have hb := (bounds b).1
   simp only [notLe, decide_eq_true_eq] at h
-  exact not_le_of_gt (hb.2.trans_lt ((Dyadic.toReal_lt_toReal_iff.mpr h).trans_le ha.1))
+  exact not_le_of_gt (hb.2.trans_lt ((HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mpr h).trans_le ha.1))
 
 /-- Threaded refinement preserves any sound coordinate probe. -/
 theorem search_sound {α : Type} (probe : DyadicSquare → DyadicSquare → Option α)
diff --git a/HexNumberFieldMathlib/Nearest.lean b/HexNumberFieldMathlib/Nearest.lean
index 9081476d96..3a09fe831b 100644
--- a/HexNumberFieldMathlib/Nearest.lean
+++ b/HexNumberFieldMathlib/Nearest.lean
@@ -32,10 +32,10 @@ namespace Hex
 namespace DyadicComplexBall
 
 /-- The centre of a ball, componentwise. -/
-theorem center_re (b : DyadicComplexBall) : b.center.re = Dyadic.toReal b.re :=
+theorem center_re (b : DyadicComplexBall) : b.center.re = HexRootsMathlib.Dyadic.toReal b.re :=
   GaussDyadic.toComplex_re (b.re, b.im)
 
-theorem center_im (b : DyadicComplexBall) : b.center.im = Dyadic.toReal b.im :=
+theorem center_im (b : DyadicComplexBall) : b.center.im = HexRootsMathlib.Dyadic.toReal b.im :=
   GaussDyadic.toComplex_im (b.re, b.im)
 
 /-- A point of a ball is within the radius of the centre. -/
@@ -52,8 +52,8 @@ theorem radius_nonneg_of_mem {b : DyadicComplexBall} {z : ℂ} (h : z ∈ b.set)
 theorem meets_of_mem_set {b₁ b₂ : DyadicComplexBall} {z : ℂ}
     (h₁ : z ∈ b₁.set) (h₂ : z ∈ b₂.set) : b₁.meets b₂ = true := by
   unfold meets
-  rw [decide_eq_true_eq, ← Dyadic.toReal_le_toReal_iff, Dyadic.toReal_mul,
-    Dyadic.toReal_add, DyadicSquare.toReal_distSq]
+  rw [decide_eq_true_eq, ← HexRootsMathlib.Dyadic.toReal_le_toReal_iff, HexRootsMathlib.Dyadic.toReal_mul,
+    HexRootsMathlib.Dyadic.toReal_add, DyadicSquare.toReal_distSq]
   have h₁' := dist_le_of_mem h₁
   have h₂' := dist_le_of_mem h₂
   have htri : dist b₁.center b₂.center ≤ b₁.realRadius + b₂.realRadius := by
@@ -70,8 +70,8 @@ theorem dist_le_of_meets {b₁ b₂ : DyadicComplexBall} {z w : ℂ}
     (h : b₁.meets b₂ = true) (hz : z ∈ b₁.set) (hw : w ∈ b₂.set) :
     dist z w ≤ 2 * (b₁.realRadius + b₂.realRadius) := by
   unfold meets at h
-  rw [decide_eq_true_eq, ← Dyadic.toReal_le_toReal_iff, Dyadic.toReal_mul,
-    Dyadic.toReal_add, DyadicSquare.toReal_distSq] at h
+  rw [decide_eq_true_eq, ← HexRootsMathlib.Dyadic.toReal_le_toReal_iff, HexRootsMathlib.Dyadic.toReal_mul,
+    HexRootsMathlib.Dyadic.toReal_add, DyadicSquare.toReal_distSq] at h
   have hnn : 0 ≤ b₁.realRadius + b₂.realRadius :=
     add_nonneg (radius_nonneg_of_mem hz) (radius_nonneg_of_mem hw)
   have hcenters : dist b₁.center b₂.center ≤ b₁.realRadius + b₂.realRadius := by
@@ -101,7 +101,7 @@ theorem conj_mem_mirrorBall {b : DyadicComplexBall} {z : ℂ} (h : z ∈ b.set)
     apply Complex.ext
     · rw [DyadicComplexBall.center_re, Complex.conj_re, DyadicComplexBall.center_re, hre]
     · rw [DyadicComplexBall.center_im, Complex.conj_im, DyadicComplexBall.center_im, him,
-        Dyadic.toReal_neg]
+        HexRootsMathlib.Dyadic.toReal_neg]
   have hradius : (mirrorBall b).realRadius = b.realRadius := rfl
   rw [DyadicComplexBall.set, Metric.mem_closedBall, hcenter, hradius, Complex.dist_conj_conj]
   exact DyadicComplexBall.dist_le_of_mem h
@@ -183,7 +183,7 @@ theorem mul_p_ne_zero (a b : AlgebraicNumber) : a.p * b.p ≠ 0 := by
 
 /-- The real part of a number is within the ball radius of the centre's. -/
 theorem abs_re_sub_center_le (a : AlgebraicNumber) (prec : Int) :
-    |a.toComplex.re - Dyadic.toReal (a.approx prec).re| ≤ (a.approx prec).realRadius := by
+    |a.toComplex.re - HexRootsMathlib.Dyadic.toReal (a.approx prec).re| ≤ (a.approx prec).realRadius := by
   have h := DyadicComplexBall.dist_le_of_mem (approx_mem a prec)
   rw [dist_eq_norm] at h
   have h' := Complex.abs_re_le_norm (a.toComplex - (a.approx prec).center)
@@ -220,7 +220,7 @@ theorem realCompareExact_eq (a b : AlgebraicNumber) (ha : a.isReal = true)
         then Ordering.lt else Ordering.gt) = _
     split
     · rename_i hlt
-      have hlt' := Dyadic.toReal_lt_toReal_iff.mpr hlt
+      have hlt' := HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mpr hlt
       symm
       rw [compare_lt_iff_lt]
       by_contra hge
@@ -228,9 +228,9 @@ theorem realCompareExact_eq (a b : AlgebraicNumber) (ha : a.isReal = true)
       rw [abs_of_nonneg (by linarith)] at hsep
       linarith
     · rename_i hnlt
-      have hge' : Dyadic.toReal (b.approx (separationPrec (a.p * b.p))).re ≤
-          Dyadic.toReal (a.approx (separationPrec (a.p * b.p))).re :=
-        not_lt.mp fun h => hnlt (Dyadic.toReal_lt_toReal_iff.mp h)
+      have hge' : HexRootsMathlib.Dyadic.toReal (b.approx (separationPrec (a.p * b.p))).re ≤
+          HexRootsMathlib.Dyadic.toReal (a.approx (separationPrec (a.p * b.p))).re :=
+        not_lt.mp fun h => hnlt (HexRootsMathlib.Dyadic.toReal_lt_toReal_iff.mp h)
       symm
       rw [compare_gt_iff_gt]
       by_contra hle
@@ -303,9 +303,9 @@ theorem square_im_pos_iff {d : AlgebraicNumber}
   have hdist : dist d.toComplex (HexRootsMathlib.DyadicSquare.center s) ≤
       HexRootsMathlib.DyadicSquare.radius s := by
     simpa only [HexRootsMathlib.DyadicSquare.closedDisc, Metric.mem_closedBall] using hmem
-  have hcenter : (HexRootsMathlib.DyadicSquare.center s).im = Dyadic.toReal s.im := by
+  have hcenter : (HexRootsMathlib.DyadicSquare.center s).im = HexRootsMathlib.Dyadic.toReal s.im := by
     simp [HexRootsMathlib.DyadicSquare.center_eq, Hex.DyadicSquare.center]
-  have himDist : |d.toComplex.im - Dyadic.toReal s.im| ≤
+  have himDist : |d.toComplex.im - HexRootsMathlib.Dyadic.toReal s.im| ≤
       HexRootsMathlib.DyadicSquare.radius s := by
     have h := Complex.abs_im_le_norm (d.toComplex - HexRootsMathlib.DyadicSquare.center s)
     rw [Complex.sub_im, hcenter] at h
@@ -326,7 +326,7 @@ theorem square_im_pos_iff {d : AlgebraicNumber}
           mul_lt_mul_of_pos_left hsqrt hpos
       _ ≤ (2 : ℝ) ^ (-(3 : ℤ)) * 2 := by gcongr
       _ = 1 / 4 := by norm_num
-  rw [← Dyadic.toReal_lt_toReal_iff, Dyadic.toReal_zero]
+  rw [← HexRootsMathlib.Dyadic.toReal_lt_toReal_iff, HexRootsMathlib.Dyadic.toReal_zero]
   rw [abs_le] at himDist
   rcases hcases with h | h
   · rw [h] at himDist ⊢
@@ -439,7 +439,7 @@ theorem ballDistSq_cast (b : DyadicComplexBall) (re im : Rat) :
   rw [Complex.sq_norm, Complex.normSq_apply, Complex.sub_re, Complex.sub_im,
     DyadicComplexBall.center_re, DyadicComplexBall.center_im]
   simp only [point, Complex.add_re, Complex.add_im, Complex.mul_re, Complex.mul_im,
-    Complex.I_re, Complex.I_im, Dyadic.toReal, Complex.ratCast_re, Complex.ratCast_im]
+    Complex.I_re, Complex.I_im, HexRootsMathlib.Dyadic.toReal, Complex.ratCast_re, Complex.ratCast_im]
   push_cast
   ring
 
@@ -453,7 +453,7 @@ theorem norm_center_sub_le (b : DyadicComplexBall) (re im : Rat) :
   rw [Complex.sub_re, Complex.sub_im, DyadicComplexBall.center_re,
     DyadicComplexBall.center_im] at h
   simp only [point, Complex.add_re, Complex.add_im, Complex.mul_re, Complex.mul_im,
-    Complex.I_re, Complex.I_im, Dyadic.toReal, Complex.ratCast_re, Complex.ratCast_im] at h
+    Complex.I_re, Complex.I_im, HexRootsMathlib.Dyadic.toReal, Complex.ratCast_re, Complex.ratCast_im] at h
   push_cast
   simpa using h
 
diff --git a/HexPolyZMathlib/MahlerSeparation.lean b/HexPolyZMathlib/MahlerSeparation.lean
index 7cf4564461..452afc7ffb 100644
--- a/HexPolyZMathlib/MahlerSeparation.lean
+++ b/HexPolyZMathlib/MahlerSeparation.lean
@@ -245,7 +245,7 @@ theorem norm_det_vandermonde_le {N : ℕ} (hN : 2 ≤ N) (c : ℂ) (α : Fin N 
     rw [← Finset.mul_prod_erase univ _ (Finset.mem_univ i₁)]
     refine mul_le_mul hRi1 ?_ (Finset.prod_nonneg (fun j _ => Real.sqrt_nonneg _))
       (mul_nonneg (mul_nonneg (pow_nonneg (hB0 i₁) _) (norm_nonneg _)) (Real.sqrt_nonneg _))
-    exact Finset.prod_le_prod (fun j _ => Real.sqrt_nonneg _)
+    exact Finset.prod_le_prod₀ (fun j _ => Real.sqrt_nonneg _)
       (fun j hj => hRj j (Finset.mem_erase.mp hj).1)
   have hprodrw : ∏ j ∈ univ.erase i₁, (Real.sqrt N * B j ^ (N - 1))
       = Real.sqrt N ^ (N - 1) * (∏ j ∈ univ.erase i₁, B j) ^ (N - 1) := by
diff --git a/HexPolyZMathlib/RobinsonForm.lean b/HexPolyZMathlib/RobinsonForm.lean
index d1552a03d9..efab89c270 100644
--- a/HexPolyZMathlib/RobinsonForm.lean
+++ b/HexPolyZMathlib/RobinsonForm.lean
@@ -392,7 +392,7 @@ theorem mahlerMeasure_le_circleAverage_norm (p : ℂ[X]) :
   have : IsFiniteMeasure (volume.restrict (uIoc 0 (2 * Real.pi))) := by
     rw [uIoc_of_le (by positivity)]
     infer_instance
-  have : NeZero (volume (uIoc 0 (2 * Real.pi))) := ⟨by simp⟩
+  have : NeZero (volume (uIoc 0 (2 * Real.pi))) := ⟨by simp [Real.pi_pos]⟩
   by_cases hp : p = 0
   · rw [hp, mahlerMeasure_zero]
     exact Real.circleAverage_nonneg_of_nonneg (fun z _ => norm_nonneg (eval z (0 : ℂ[X])))
diff --git a/HexRCF/Cells.lean b/HexRCF/Cells.lean
index f2fb9df143..cbc6cceefa 100644
--- a/HexRCF/Cells.lean
+++ b/HexRCF/Cells.lean
@@ -111,7 +111,7 @@ theorem openPoint_mem {f : ZPoly} {replay : SturmReplay}
     (hstrict : cert.checkStrict replay = true)
     (cut : Fin (cert.intervals.size + 1)) :
     Sem (cert.rootModel hreplay hstrict) (.open cut)
-      (Dyadic.toReal (cert.openPoint cut)) := by
+      (HexRealRootsMathlib.Dyadic.toReal (cert.openPoint cut)) := by
   classical
   by_cases hzero : cert.intervals.size = 0
   · simp [Sem, hzero]
@@ -176,22 +176,22 @@ theorem openPoint_mem {f : ZPoly} {replay : SturmReplay}
     have hmu := toReal_lt_toReal (midpoint_lt_upper gap)
     simp only [Literal.InInterval] at hprev hnext
     have hsem : (cert.rootModel hreplay hstrict).root
-          ⟨cut.val - 1, by omega⟩ < Dyadic.toReal gap.midpoint ∧
-        Dyadic.toReal gap.midpoint <
+          ⟨cut.val - 1, by omega⟩ < HexRealRootsMathlib.Dyadic.toReal gap.midpoint ∧
+        HexRealRootsMathlib.Dyadic.toReal gap.midpoint <
           (cert.rootModel hreplay hstrict).root ⟨cut.val, by omega⟩ :=
       ⟨lt_of_le_of_lt hprev.2 hlm, lt_trans hmu hnext.1⟩
-    have hraw : Dyadic.toReal
+    have hraw : HexRealRootsMathlib.Dyadic.toReal
           (((cert.intervals[cut.val - 1]'(by omega)).upper +
             (cert.intervals[cut.val]'(by omega)).lower) >>> (1 : Int)) =
-        (Dyadic.toReal (cert.intervals[cut.val - 1]'(by omega)).upper +
-          Dyadic.toReal (cert.intervals[cut.val]'(by omega)).lower) / 2 := by
+        (HexRealRootsMathlib.Dyadic.toReal (cert.intervals[cut.val - 1]'(by omega)).upper +
+          HexRealRootsMathlib.Dyadic.toReal (cert.intervals[cut.val]'(by omega)).lower) / 2 := by
       rw [toReal_shiftRight, toReal_add]
       norm_num
       ring
-    have hmid : Dyadic.toReal
+    have hmid : HexRealRootsMathlib.Dyadic.toReal
           (((cert.intervals[cut.val - 1]'(by omega)).upper +
             (cert.intervals[cut.val]'(by omega)).lower) >>> (1 : Int)) =
-        Dyadic.toReal gap.midpoint := by
+        HexRealRootsMathlib.Dyadic.toReal gap.midpoint := by
       rw [hraw, toReal_midpoint]
     rw [← hmid] at hsem
     simpa [Sem, IsolationCert.openPoint, hzero, hleft, hright] using hsem
@@ -493,16 +493,16 @@ theorem holds_of_check {f : ZPoly} {replay : SturmReplay}
     (hcmps : check f replay cert a b cmps = true)
     (i : Fin cert.intervals.size) :
     cmps.lower[i].Holds ((cert.rootModel hreplay hstrict).root i)
-        (Dyadic.toReal a) ∧
+        (HexRealRootsMathlib.Dyadic.toReal a) ∧
       cmps.upper[i].Holds ((cert.rootModel hreplay hstrict).root i)
-        (Dyadic.toReal b) := by
+        (HexRealRootsMathlib.Dyadic.toReal b) := by
   have hmem : i.val ∈ List.range cert.intervals.size := List.mem_range.mpr i.isLt
   have hstep := (List.all_eq_true.mp hcmps) i.val hmem
   simp only [i.isLt, dite_true, Bool.and_eq_true] at hstep
   have cmpHolds (endpoint : Dyadic) (claim : Separation.RootCmp)
       (hclaim : Separation.checkCmp f replay cert.intervals[i] endpoint claim = true) :
       claim.Holds ((cert.rootModel hreplay hstrict).root i)
-        (Dyadic.toReal endpoint) := by
+        (HexRealRootsMathlib.Dyadic.toReal endpoint) := by
     obtain ⟨root, hroot, -⟩ := Separation.checkCmp_sound hreplay
       (IsolationCert.check_of_checkStrict hstrict) i endpoint claim hclaim
     have hrootAt := cert.rootAt_unique hreplay
@@ -542,17 +542,17 @@ private theorem eq_lt_iff {cmp : Separation.RootCmp} {root endpoint : ℝ}
 nonempty half-open interval. -/
 theorem meetsIoc_iff {f : ZPoly} {cert : IsolationCert}
     (M : RootModel f cert) (cmps : IocCmps cert.intervals.size)
-    (a b : Dyadic) (hab : Dyadic.toReal a < Dyadic.toReal b)
+    (a b : Dyadic) (hab : HexRealRootsMathlib.Dyadic.toReal a < HexRealRootsMathlib.Dyadic.toReal b)
     (hlower : ∀ i : Fin cert.intervals.size,
-      Separation.RootCmp.Holds cmps.lower[i] (M.root i) (Dyadic.toReal a))
+      Separation.RootCmp.Holds cmps.lower[i] (M.root i) (HexRealRootsMathlib.Dyadic.toReal a))
     (hupper : ∀ i : Fin cert.intervals.size,
-      Separation.RootCmp.Holds cmps.upper[i] (M.root i) (Dyadic.toReal b))
+      Separation.RootCmp.Holds cmps.upper[i] (M.root i) (HexRealRootsMathlib.Dyadic.toReal b))
     (c : Cell cert.intervals.size) :
     meetsIoc cmps c = true ↔
       ∃ x : ℝ, Sem M c x ∧
-        x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b) := by
-  let A := Dyadic.toReal a
-  let B := Dyadic.toReal b
+        x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b) := by
+  let A := HexRealRootsMathlib.Dyadic.toReal a
+  let B := HexRealRootsMathlib.Dyadic.toReal b
   change meetsIoc cmps c = true ↔
     ∃ x : ℝ, Sem M c x ∧ x ∈ Set.Ioc A B
   change A < B at hab
@@ -660,11 +660,11 @@ theorem meetsIoc_iff_of_check {f : ZPoly} {replay : SturmReplay}
     (a b : Dyadic) (hreplay : replay.check f = true)
     (hstrict : cert.checkStrict replay = true)
     (hcmps : IocCmps.check f replay cert a b cmps = true)
-    (hab : Dyadic.toReal a < Dyadic.toReal b)
+    (hab : HexRealRootsMathlib.Dyadic.toReal a < HexRealRootsMathlib.Dyadic.toReal b)
     (c : Cell cert.intervals.size) :
     meetsIoc cmps c = true ↔
       ∃ x : ℝ, Sem (cert.rootModel hreplay hstrict) c x ∧
-        x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b) := by
+        x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b) := by
   apply meetsIoc_iff (cert.rootModel hreplay hstrict) cmps a b hab
   · intro i
     exact (cmps.holds_of_check a b hreplay hstrict hcmps i).1
@@ -680,7 +680,7 @@ theorem meetsIocOn_iff_of_check {f : ZPoly} {replay : SturmReplay}
     (c : Cell cert.intervals.size) :
     meetsIocOn a b cmps c = true ↔
       ∃ x : ℝ, Sem (cert.rootModel hreplay hstrict) c x ∧
-        x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b) := by
+        x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b) := by
   by_cases hab : a < b
   · simp only [meetsIocOn, hab, decide_true]
     exact meetsIoc_iff_of_check cmps a b hreplay hstrict hcmps
@@ -688,7 +688,7 @@ theorem meetsIocOn_iff_of_check {f : ZPoly} {replay : SturmReplay}
   · constructor
     · simp [meetsIocOn, hab]
     · rintro ⟨x, -, hax, hxb⟩
-      have hreal : ¬Dyadic.toReal a < Dyadic.toReal b := by
+      have hreal : ¬HexRealRootsMathlib.Dyadic.toReal a < HexRealRootsMathlib.Dyadic.toReal b := by
         simpa [toReal_lt_toReal_iff] using hab
       exact (hreal (lt_of_lt_of_le hax hxb)).elim
 
diff --git a/HexRCF/CellsTests.lean b/HexRCF/CellsTests.lean
index e5a30b89d2..26788d7ed0 100644
--- a/HexRCF/CellsTests.lean
+++ b/HexRCF/CellsTests.lean
@@ -57,7 +57,7 @@ example : strict.openPoint ⟨2, by decide⟩ = Dyadic.ofInt 3 := by decide
 /-- The proof-facing sample and partition APIs consume the same checked data. -/
 example : Cell.Sem (strict.rootModel (f := quad) (replay := replay)
       replay_ok strict_ok)
-    (Cell.open ⟨1, by decide⟩) (Dyadic.toReal (strict.openPoint ⟨1, by decide⟩)) :=
+    (Cell.open ⟨1, by decide⟩) (HexRealRootsMathlib.Dyadic.toReal (strict.openPoint ⟨1, by decide⟩)) :=
   Cell.openPoint_mem (f := quad) (replay := replay) strict
     replay_ok strict_ok ⟨1, by decide⟩
 
@@ -96,8 +96,8 @@ example (c : Cell strict.intervals.size) :
     Cell.meetsIoc cmps c = true ↔
       ∃ z : ℝ, Cell.Sem (strict.rootModel (f := quad) (replay := replay)
           replay_ok strict_ok) c z ∧
-        z ∈ Set.Ioc (Dyadic.toReal (Dyadic.ofInt (-1)))
-          (Dyadic.toReal (Dyadic.ofInt 1)) :=
+        z ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal (Dyadic.ofInt (-1)))
+          (HexRealRootsMathlib.Dyadic.toReal (Dyadic.ofInt 1)) :=
   Cell.meetsIoc_iff_of_check (f := quad) (replay := replay) (cert := strict)
     cmps (Dyadic.ofInt (-1)) (Dyadic.ofInt 1)
     replay_ok strict_ok cmps_ok
diff --git a/HexRCF/Language.lean b/HexRCF/Language.lean
index 5dde838c49..d91fd3aec2 100644
--- a/HexRCF/Language.lean
+++ b/HexRCF/Language.lean
@@ -22,7 +22,7 @@ construction. Rational coefficients are handled by the tactic's reifier,
 which clears denominators before constructing an `Atom`.
 
 Reification relates atom evaluation and dyadic endpoints propositionally
-using the `aeval` and `Dyadic.toReal` lemmas. Normalisation and
+using the `aeval` and `HexRealRootsMathlib.Dyadic.toReal` lemmas. Normalisation and
 denominator clearing are not expected to make the reflected semantics
 definitionally equal to the source goal.
 -/
diff --git a/HexRCF/Separation.lean b/HexRCF/Separation.lean
index 56b1d26787..d8b7f15bfe 100644
--- a/HexRCF/Separation.lean
+++ b/HexRCF/Separation.lean
@@ -59,7 +59,7 @@ theorem classify_sound {f : ZPoly} {replay : SturmReplay}
     (hcmp : classify? f replay cert.intervals[i] endpoint = some cmp) :
     ∃! root : ℝ, (toPolyℝ f).IsRoot root ∧
       Literal.InInterval cert.intervals[i] root ∧
-      cmp.Holds root (Dyadic.toReal endpoint) := by
+      cmp.Holds root (HexRealRootsMathlib.Dyadic.toReal endpoint) := by
   classical
   obtain ⟨root, hroot, huniq⟩ :=
     IsolationCert.existsUnique_root hreplay hcert i
@@ -125,17 +125,17 @@ theorem classify_sound {f : ZPoly} {replay : SturmReplay}
                 le_trans hymem.2.2 (toReal_le_toReal hend)⟩
             have hyr : y = root :=
               huniq y ⟨(Polynomial.mem_roots'.mp hymem.1).2, hyI⟩
-            have hrootEnd : root ≤ Dyadic.toReal endpoint := by
+            have hrootEnd : root ≤ HexRealRootsMathlib.Dyadic.toReal endpoint := by
               rw [← hyr]
               exact hymem.2.2
             split at hcmp
             next heval =>
               have heq : RootCmp.eq = cmp := Option.some.inj hcmp
               subst cmp
-              have hendRoot : (toPolyℝ f).IsRoot (Dyadic.toReal endpoint) :=
+              have hendRoot : (toPolyℝ f).IsRoot (HexRealRootsMathlib.Dyadic.toReal endpoint) :=
                 (evalSign_zero_iff f endpoint).mp heval
               have hendI : Literal.InInterval cert.intervals[i]
-                  (Dyadic.toReal endpoint) := by
+                  (HexRealRootsMathlib.Dyadic.toReal endpoint) := by
                 exact ⟨toReal_lt_toReal (Dyadic.not_lt.mp hleft),
                   toReal_le_toReal hend⟩
               exact (huniq _ ⟨hendRoot, hendI⟩).symm
@@ -217,7 +217,7 @@ theorem checkCmp_sound {f : ZPoly} {replay : SturmReplay}
     (hclaim : checkCmp f replay cert.intervals[i] endpoint claim = true) :
     ∃! root : ℝ, (toPolyℝ f).IsRoot root ∧
       Literal.InInterval cert.intervals[i] root ∧
-      claim.Holds root (Dyadic.toReal endpoint) := by
+      claim.Holds root (HexRealRootsMathlib.Dyadic.toReal endpoint) := by
   apply classify_sound hreplay hcert i endpoint
   exact of_decide_eq_true hclaim
 
diff --git a/HexRCF/SeparationTests.lean b/HexRCF/SeparationTests.lean
index 196b9619b1..c1fdcc03c7 100644
--- a/HexRCF/SeparationTests.lean
+++ b/HexRCF/SeparationTests.lean
@@ -230,7 +230,7 @@ example : Separation.checkCmp quad replay left (Dyadic.ofInt (-1)) .lt = false :
 /-- Checked endpoint claims expose their semantic order in the kernel. -/
 example : ∃! root : ℝ, (HexRealRootsMathlib.toPolyℝ quad).IsRoot root ∧
     HexRealRootsMathlib.Literal.InInterval touching.intervals[0] root ∧
-    Separation.RootCmp.eq.Holds root (Dyadic.toReal (Dyadic.ofInt (-1))) :=
+    Separation.RootCmp.eq.Holds root (HexRealRootsMathlib.Dyadic.toReal (Dyadic.ofInt (-1))) :=
   Separation.checkCmp_sound (f := quad) (replay := replay) (cert := touching)
     (by decide) (by decide) ⟨0, by decide⟩ (Dyadic.ofInt (-1)) .eq (by decide)
 
diff --git a/HexRCF/SignMatrix.lean b/HexRCF/SignMatrix.lean
index 0b9af13250..9f2cf546eb 100644
--- a/HexRCF/SignMatrix.lean
+++ b/HexRCF/SignMatrix.lean
@@ -78,7 +78,7 @@ open HexRealRootsMathlib Polynomial
 real-polynomial evaluation. -/
 theorem evalSign_spec (p : ZPoly) (x : Dyadic) :
     SignType.sign (((evalSign p x).toInt : Int) : ℝ) =
-      SignType.sign ((toPolyℝ p).eval (Dyadic.toReal x)) := by
+      SignType.sign ((toPolyℝ p).eval (HexRealRootsMathlib.Dyadic.toReal x)) := by
   rw [evalSign, Sign.ofInt_spec, ← toReal_evalDyadic]
   exact sign_dyadicSign _
 
@@ -102,7 +102,7 @@ theorem sign_eval_eq_open {carrier : ZPoly} {replay : SturmReplay}
     (cut : Fin (isolations.intervals.size + 1)) {x : ℝ}
     (hx : Cell.Sem (isolations.rootModel hreplay hstrict) (.open cut) x) :
     SignType.sign ((toPolyℝ atom).eval
-      (Dyadic.toReal (isolations.openPoint cut))) =
+      (HexRealRootsMathlib.Dyadic.toReal (isolations.openPoint cut))) =
       SignType.sign ((toPolyℝ atom).eval x) := by
   let model := isolations.rootModel hreplay hstrict
   apply Polynomial.sign_eq_of_noRoot (Cell.isPreconnected_open model cut)
@@ -211,12 +211,12 @@ theorem evalSign_commonLeft
 
 /-- Exact evaluation cannot report zero at a certified nonroot. -/
 theorem evalSign_ne_zero (p : ZPoly) (x : Dyadic)
-    (hroot : ¬(toPolyℝ p).IsRoot (Dyadic.toReal x)) :
+    (hroot : ¬(toPolyℝ p).IsRoot (HexRealRootsMathlib.Dyadic.toReal x)) :
     evalSign p x ≠ .zero := by
   intro hzero
   have hsign := evalSign_spec p x
   rw [hzero] at hsign
-  have heval : (toPolyℝ p).eval (Dyadic.toReal x) = 0 := by
+  have heval : (toPolyℝ p).eval (HexRealRootsMathlib.Dyadic.toReal x) = 0 := by
     apply sign_eq_zero_iff.mp
     simpa [Sign.toInt] using hsign.symm
   exact hroot heval
@@ -246,10 +246,10 @@ theorem openCellSign_spec {sentence : Sentence} {carrier : CarrierCert}
       intro z hz
       exact (carrier.isRoot_iff_atom hcarrier z).2 ⟨p, hpmem, hz⟩
     have hsample : Cell.Sem model (.open cut)
-        (Dyadic.toReal (isolations.openPoint cut)) :=
+        (HexRealRootsMathlib.Dyadic.toReal (isolations.openPoint cut)) :=
       Cell.openPoint_mem isolations hreplay hstrict cut
     have hnotroot : ¬(toPolyℝ p).IsRoot
-        (Dyadic.toReal (isolations.openPoint cut)) := by
+        (HexRealRootsMathlib.Dyadic.toReal (isolations.openPoint cut)) := by
       intro hpRoot
       exact Cell.open_not_root model hsample (hroot _ hpRoot)
     have hnonzero : evalSign p (isolations.openPoint cut) ≠ .zero :=
@@ -294,7 +294,7 @@ theorem signWith?_spec {sentence : Sentence} {carrier : CarrierCert}
     cases cell with
     | «open» cut =>
         have hsample : Cell.Sem model (.open cut)
-            (Dyadic.toReal (isolations.openPoint cut)) :=
+            (HexRealRootsMathlib.Dyadic.toReal (isolations.openPoint cut)) :=
           Cell.openPoint_mem isolations hreplay hstrict cut
         obtain ⟨sign, hsign, _⟩ :=
           openCellSign_spec hcarrier hstrict hp cut hsample
@@ -333,10 +333,10 @@ theorem signWith?_spec {sentence : Sentence} {carrier : CarrierCert}
           have hhasFalse' : common.hasRoot isolations.intervals[↑i] = false := by
             simpa using hhasFalse
           have hsample : Cell.Sem model (.open i.castSucc)
-              (Dyadic.toReal (isolations.openPoint i.castSucc)) :=
+              (HexRealRootsMathlib.Dyadic.toReal (isolations.openPoint i.castSucc)) :=
             Cell.openPoint_mem isolations hreplay hstrict i.castSucc
           have hnotroot : ¬(toPolyℝ p).IsRoot
-              (Dyadic.toReal (isolations.openPoint i.castSucc)) := by
+              (HexRealRootsMathlib.Dyadic.toReal (isolations.openPoint i.castSucc)) := by
             intro hpRoot
             exact Cell.open_not_root model hsample (hroot _ hpRoot)
           have hnonzero : evalSign p (isolations.openPoint i.castSucc) ≠ .zero :=
diff --git a/HexRCF/Soundness.lean b/HexRCF/Soundness.lean
index 0a9a119de3..8719a657ea 100644
--- a/HexRCF/Soundness.lean
+++ b/HexRCF/Soundness.lean
@@ -337,10 +337,11 @@ theorem forallIoc_spec {carrier : ZPoly} {replay : SturmReplay}
     ∃ value,
       allWhereArray (Cell.all cert.intervals.size)
         (Cell.meetsIocOn a b cmps) eval = some value ∧
-      (value = true ↔ ∀ x, x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b) → P x) := by
+      (value = true ↔ ∀ x,
+        x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b) → P x) := by
   apply forallWhere_spec (cert.rootModel hreplay hstrict) eval
     (Cell.meetsIocOn a b cmps)
-    (fun x => x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b)) P hcell
+    (fun x => x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b)) P hcell
   exact fun c => Cell.meetsIocOn_iff_of_check cmps a b hreplay hstrict hcmps c
 
 /--
@@ -358,10 +359,11 @@ theorem existsIoc_spec {carrier : ZPoly} {replay : SturmReplay}
     ∃ value,
       anyWhereArray (Cell.all cert.intervals.size)
         (Cell.meetsIocOn a b cmps) eval = some value ∧
-      (value = true ↔ ∃ x, x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b) ∧ P x) := by
+      (value = true ↔ ∃ x,
+        x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b) ∧ P x) := by
   apply existsWhere_spec (cert.rootModel hreplay hstrict) eval
     (Cell.meetsIocOn a b cmps)
-    (fun x => x ∈ Set.Ioc (Dyadic.toReal a) (Dyadic.toReal b)) P hcell
+    (fun x => x ∈ Set.Ioc (HexRealRootsMathlib.Dyadic.toReal a) (HexRealRootsMathlib.Dyadic.toReal b)) P hcell
   exact fun c => Cell.meetsIocOn_iff_of_check cmps a b hreplay hstrict hcmps c
 
 end CellFold
@@ -397,7 +399,7 @@ theorem Certificate.emptyIoc_sound {s : Sentence}
       · simp at h
       · rename_i hab
         intro x hx
-        have hreal : ¬Dyadic.toReal a < Dyadic.toReal b := by
+        have hreal : ¬HexRealRootsMathlib.Dyadic.toReal a < HexRealRootsMathlib.Dyadic.toReal b := by
           simpa [toReal_lt_toReal_iff] using hab
         exact (hreal (lt_of_lt_of_le hx.1 hx.2)).elim
   | existsIoc a b formula =>
diff --git a/HexRankMathlib/Cert.lean b/HexRankMathlib/Cert.lean
index 1e4c3f5214..69be1e9b0e 100644
--- a/HexRankMathlib/Cert.lean
+++ b/HexRankMathlib/Cert.lean
@@ -83,7 +83,6 @@ theorem cols_subset_reduceStep {quot : R → R → R} (S : Hex.Matrix.ReducedFor
   cases hp : Hex.Matrix.findPivotRow? S.matrix S.profile.rows.toList j with
   | none =>
     rw [Hex.Matrix.reduceStep_skip hp]
-    exact List.Subset.refl _
   | some p =>
     rw [Hex.Matrix.reduceStep_pivot_profile hp]
     simp only [Vector.toList_push]
diff --git a/HexRealRootsMathlib/ChainCorrespond.lean b/HexRealRootsMathlib/ChainCorrespond.lean
index 8e29110971..6b6ae4301b 100644
--- a/HexRealRootsMathlib/ChainCorrespond.lean
+++ b/HexRealRootsMathlib/ChainCorrespond.lean
@@ -201,16 +201,6 @@ theorem evalSign_zero_iff (p : Hex.ZPoly) (x : Dyadic) :
       sign_eq_zero_iff.mp hs
     exact_mod_cast hz
 
-/-- Filtering the real casts by nonzero commutes with filtering the integers by
-nonzero: casting to `ℝ` neither creates nor destroys zero entries. -/
-private theorem filter_map_ne_zero (l : List Int) :
-    (l.map (Int.cast : ℤ → ℝ)).filter (fun v => decide (v ≠ 0))
-      = (l.filter (· != 0)).map (Int.cast : ℤ → ℝ) := by
-  have hp : ((fun v => decide (v ≠ 0)) ∘ (Int.cast : ℤ → ℝ)) = (· != 0) := by
-    funext i
-    by_cases h : i = 0 <;> simp [Function.comp_apply, h]
-  rw [List.filter_map, hp]
-
 /-- Two nonzero leading entries: `signVar` peels one sign-change decision and
 recurses. Phrased through the public `Hex.signVar` (the internal `go` recursor is
 module-private), using that a nonzero head survives the zero-filter. -/
@@ -225,29 +215,25 @@ private theorem signVar_cons_cons {a b : Int} (rest : List Int) (ha : a ≠ 0) (
   rw [fa, fb]
   rfl
 
-/-- On a zero-free integer list, the executable count matches the abstract real
-count of the casts. Structural recursion peeling two elements; each retained
-entry is nonzero, so the executable and real sign tests agree pairwise. -/
+/-- On a zero-free integer list, the executable count agrees with Mathlib's count. -/
 private theorem signVar_zeroFree : ∀ m : List Int, (∀ x ∈ m, x ≠ 0) →
-    Hex.signVar m = Sturm.countSignChanges (m.map (Int.cast : ℤ → ℝ))
+    Hex.signVar m = m.signVariations
   | [], _ => rfl
   | [a], ha => by
       have ha0 : a ≠ 0 := ha a (by simp)
-      unfold Hex.signVar
-      rw [List.filter_cons, ite_eq_left (by simpa using ha0), List.filter_nil]
-      rfl
+      simp [Hex.signVar, Hex.signVar.go, ha0]
   | a :: b :: rest, hne => by
       have ha : a ≠ 0 := hne a (by simp)
       have hb : b ≠ 0 := hne b (by simp)
       have hbne : ∀ x ∈ b :: rest, x ≠ 0 := fun x hx => hne x (List.mem_cons_of_mem _ hx)
-      rw [signVar_cons_cons rest ha hb, signVar_zeroFree (b :: rest) hbne,
-        List.map_cons, List.map_cons, List.map_cons, Sturm.countSignChanges_cons_cons]
+      rw [signVar_cons_cons rest ha hb, List.signVariations_cons_cons_of_ne_zero rest ha hb,
+        signVar_zeroFree (b :: rest) hbne, Nat.add_comm]
       congr 1
-      have hcast : (a : ℝ) * (b : ℝ) = ((a * b : Int) : ℝ) := by push_cast; ring
-      rw [hcast]
-      by_cases h : a * b < 0
-      · rw [ite_eq_left h, ite_eq_left (by exact_mod_cast h)]
-      · rw [ite_eq_right h, ite_eq_right (by exact_mod_cast h)]
+      simp only [← sign_eq_neg_one_iff, sign_mul]
+      have ha' : SignType.sign a ≠ 0 := by simpa using ha
+      have hb' : SignType.sign b ≠ 0 := by simpa using hb
+      revert ha' hb'
+      cases SignType.sign a <;> cases SignType.sign b <;> decide
 
 /-- `signVar` reads only the zero-filtered list, so it is unchanged by
 pre-filtering out zeros. -/
@@ -257,15 +243,18 @@ private theorem signVar_filter (l : List Int) :
   rw [List.filter_filter]
   simp only [Bool.and_self]
 
-/-- **Sign-variation count correspondence.** The executable integer
-sign-variation count of a list equals the abstract real sign-variation count of
-the list cast to `ℝ`. -/
-theorem signVar_eq (l : List Int) :
-    Hex.signVar l = Sturm.signVariations (l.map (Int.cast : ℤ → ℝ)) := by
-  rw [Sturm.signVariations, filter_map_ne_zero, signVar_filter]
+/-- The executable integer sign-variation count agrees with Mathlib's list API. -/
+theorem signVar_eq_list (l : List Int) : Hex.signVar l = l.signVariations := by
+  rw [signVar_filter, ← List.signVariations_filter_ne_zero l]
   exact signVar_zeroFree (l.filter (· != 0))
     (fun x hx => by simpa using (List.mem_filter.mp hx).2)
 
+/-- Casting the executable integer sign-variation count to real inputs preserves the count. -/
+theorem signVar_eq (l : List Int) :
+    Hex.signVar l = List.signVariations (l.map (Int.cast : ℤ → ℝ)) := by
+  rw [List.signVariations_map (fun n => sign_intCast n)]
+  exact signVar_eq_list l
+
 /-- **Sign-variation correspondence.** The executable Sturm sign-variation count
 of a chain at a dyadic point equals the abstract `Sturm.sturmVar` of the mapped
 real chain at the real value of the point. Positive scaling of chain elements is
@@ -275,11 +264,10 @@ theorem sturmVarAt_eq (chain : Array Hex.ZPoly) (x : Dyadic) :
     Hex.sturmVarAt chain x
       = Sturm.sturmVar (chain.toList.map toPolyℝ) (Dyadic.toReal x) := by
   rw [Hex.sturmVarAt, signVar_eq, Sturm.sturmVar]
-  apply Sturm.signVariations_congr
+  apply List.signVariations_congr
   simp only [List.map_map]
-  rw [List.forall₂_map_left_iff, List.forall₂_map_right_iff, List.forall₂_same]
-  intro q _
-  rw [Function.comp_apply, Function.comp_apply, sign_dyadicSign, toReal_evalDyadic]
+  refine List.map_congr_left fun q _ => ?_
+  simp only [Function.comp_apply, sign_dyadicSign, toReal_evalDyadic]
 
 /-! # `spem` correspondence: the sign-managed pseudo-remainder over `ℝ`
 
@@ -1424,24 +1412,18 @@ theorem sturmCount_eq_card_roots (p : Hex.ZPoly) (hp : 1 ≤ p.natDegree)
 /-- Casting an integer's sign to `ℝ` preserves `SignType.sign`. -/
 private theorem sign_intCast_sign (n : Int) :
     SignType.sign ((n.sign : ℝ)) = SignType.sign ((n : ℝ)) := by
-  rcases lt_trichotomy n 0 with h | h | h
-  · rw [Int.sign_eq_neg_one_of_neg h]
-    have h2 : (n : ℝ) < 0 := by exact_mod_cast h
-    rw [show ((-1 : Int) : ℝ) = -1 by norm_num, sign_neg (by norm_num), sign_neg h2]
-  · subst h; simp
-  · rw [Int.sign_eq_one_of_pos h]
-    have h2 : (0:ℝ) < (n : ℝ) := by exact_mod_cast h
-    rw [show ((1 : Int) : ℝ) = 1 by norm_num, sign_pos (by norm_num), sign_pos h2]
+  simp only [sign_intCast]
+  rw [Int.sign_eq_sign]
+  cases SignType.sign n <;> decide
 
 /-- The executable `+∞` variation count matches the abstract one: both read
 the signs of the leading coefficients. -/
 theorem sturmVarPosInf_eq (chain : Array Hex.ZPoly) :
     Hex.sturmVarPosInf chain = Sturm.sturmVarPosInf (chain.toList.map toPolyℝ) := by
   rw [Hex.sturmVarPosInf, signVar_eq, Sturm.sturmVarPosInf]
-  apply Sturm.signVariations_congr
+  apply List.signVariations_congr
   simp only [List.map_map]
-  rw [List.forall₂_map_left_iff, List.forall₂_map_right_iff, List.forall₂_same]
-  intro q _
+  refine List.map_congr_left fun q _ => ?_
   simp only [Function.comp_apply]
   rw [leadingCoeff_toPolyℝ]
   exact sign_intCast_sign _
@@ -1451,10 +1433,9 @@ theorem sturmVarPosInf_eq (chain : Array Hex.ZPoly) :
 theorem sturmVarNegInf_eq (chain : Array Hex.ZPoly) :
     Hex.sturmVarNegInf chain = Sturm.sturmVarNegInf (chain.toList.map toPolyℝ) := by
   rw [Hex.sturmVarNegInf, signVar_eq, Sturm.sturmVarNegInf]
-  apply Sturm.signVariations_congr
+  apply List.signVariations_congr
   simp only [List.map_map]
-  rw [List.forall₂_map_left_iff, List.forall₂_map_right_iff, List.forall₂_same]
-  intro q _
+  refine List.map_congr_left fun q _ => ?_
   simp only [Function.comp_apply]
   rw [leadingCoeff_toPolyℝ, natDegree_toPolyℝ]
   by_cases hpar : (q).natDegree % 2 = 1
diff --git a/HexRealRootsMathlib/MobiusCorrespond.lean b/HexRealRootsMathlib/MobiusCorrespond.lean
index 537bc9e309..31f0bbba04 100644
--- a/HexRealRootsMathlib/MobiusCorrespond.lean
+++ b/HexRealRootsMathlib/MobiusCorrespond.lean
@@ -556,124 +556,45 @@ theorem roots_mobiusPoly {a b : ℂ} (hab : a ≠ b) {P : Polynomial ℂ} (hP :
 
 /-! # The Descartes variation-count bridge
 
-`Hex.descartesVar` counts sign variations of the *ascending* coefficient list via
-`Hex.signVar` (adjacent opposite-sign pairs), while `Polynomial.signVariations`
-counts them on the *descending* `coeffList` via a `destutter`. We bridge the two
-by (i) reversal invariance of the adjacent count and (ii) an
-adjacent-count↔`destutter`-length identity on a zero-free list. -/
-
-/-- Appending a single entry adds one variation exactly when it is opposite in
-sign to the previous entry. -/
-private theorem countSignChanges_concat : ∀ (l : List ℝ) (x : ℝ),
-    Sturm.countSignChanges (l ++ [x]) =
-      Sturm.countSignChanges l + (l.getLast?).elim 0 (fun y => if y * x < 0 then 1 else 0)
-  | [], x => by simp [Sturm.countSignChanges]
-  | [a], x => by simp [Sturm.countSignChanges]
-  | a :: b :: t, x => by
-      rw [List.cons_append, List.cons_append, Sturm.countSignChanges_cons_cons,
-        ← List.cons_append, countSignChanges_concat (b :: t) x,
-        Sturm.countSignChanges_cons_cons, List.getLast?_cons_cons]
-      ring
-
-/-- The adjacent-opposite-sign count is invariant under reversal. -/
-private theorem countSignChanges_reverse : ∀ l : List ℝ,
-    Sturm.countSignChanges l.reverse = Sturm.countSignChanges l
-  | [] => rfl
-  | a :: t => by
-      rw [List.reverse_cons, countSignChanges_concat, countSignChanges_reverse t]
-      cases t with
-      | nil => simp [Sturm.countSignChanges]
-      | cons b t' =>
-          rw [Sturm.countSignChanges_cons_cons, List.getLast?_reverse, List.head?_cons,
-            Option.elim_some, mul_comm b a]
-          ring
-
-/-- `Sturm.signVariations` is invariant under reversal (reading the coefficient
-list forwards or backwards gives the same count). -/
-theorem signVariations_reverse (l : List ℝ) :
-    Sturm.signVariations l.reverse = Sturm.signVariations l := by
-  unfold Sturm.signVariations
-  rw [List.filter_reverse, countSignChanges_reverse]
-
-/-- For nonzero reals, `a * b < 0` iff the two entries have different signs. -/
-private theorem mul_neg_iff_sign_ne {a b : ℝ} (ha : a ≠ 0) (hb : b ≠ 0) :
-    (a * b < 0) ↔ (SignType.sign a ≠ SignType.sign b) := by
-  have hsa : SignType.sign a ≠ 0 := fun h => ha (sign_eq_zero_iff.mp h)
-  have hsb : SignType.sign b ≠ 0 := fun h => hb (sign_eq_zero_iff.mp h)
-  rw [← sign_eq_neg_one_iff, sign_mul]
-  cases ha' : SignType.sign a <;> cases hb' : SignType.sign b <;> simp_all
-
-/-- **Adjacent-count ↔ `destutter'` length.** On a zero-free real tail `m` with
-a nonzero lead `a`, the adjacent-opposite-sign count of `a :: m` equals the
-length of the accumulator-form `destutter'` (seeded with `sign a`) minus one. -/
-private theorem countSignChanges_destutter' : ∀ (m : List ℝ) (a : ℝ), a ≠ 0 →
-    (∀ x ∈ m, x ≠ 0) →
-    Sturm.countSignChanges (a :: m)
-      = ((m.map SignType.sign).destutter' (· ≠ ·) (SignType.sign a)).length - 1
-  | [], a, _, _ => by simp [Sturm.countSignChanges, List.destutter'_nil]
-  | b :: t, a, ha, hm => by
-      have hb : b ≠ 0 := hm b (by simp)
-      have ht : ∀ x ∈ t, x ≠ 0 := fun x hx => hm x (List.mem_cons_of_mem _ hx)
-      have hIH := countSignChanges_destutter' t b hb ht
-      rw [Sturm.countSignChanges_cons_cons, List.map_cons]
-      by_cases hsab : SignType.sign a ≠ SignType.sign b
-      · rw [List.destutter'_cons_pos _ hsab, List.length_cons,
-          ite_eq_left ((mul_neg_iff_sign_ne ha hb).mpr hsab), hIH, Nat.add_sub_cancel]
-        exact Nat.add_sub_cancel'
-          (List.length_pos_of_ne_nil (List.destutter'_ne_nil _ _))
-      · rw [List.destutter'_cons_neg _ hsab,
-          ite_eq_right (fun h => hsab ((mul_neg_iff_sign_ne ha hb).mp h)), Nat.zero_add,
-          not_not.mp hsab]
-        exact hIH
-
-/-- **Adjacent-count ↔ destutter length.** On a zero-free real list, the number
-of adjacent opposite-sign pairs equals the length of the sign-`destutter` minus
-one: `Sturm.countSignChanges` matches Mathlib's `destutter`-based count. -/
-private theorem countSignChanges_eq_destutter (m : List ℝ) (hm : ∀ x ∈ m, x ≠ 0) :
-    Sturm.countSignChanges m = ((m.map SignType.sign).destutter (· ≠ ·)).length - 1 := by
-  cases m with
-  | nil => simp [Sturm.countSignChanges]
-  | cons a t =>
-      have ha : a ≠ 0 := hm a (by simp)
-      have ht : ∀ x ∈ t, x ≠ 0 := fun x hx => hm x (List.mem_cons_of_mem _ hx)
-      rw [List.map_cons, List.destutter_cons', countSignChanges_destutter' t a ha ht]
-
-/-- **Descending-list variation bridge.** For any real polynomial, the abstract
-`Sturm.signVariations` of the ascending coefficient list equals Mathlib's
-`Polynomial.signVariations` (which reads the descending `coeffList`). -/
+`Hex.descartesVar` and `Polynomial.signVariations` both agree with `List.signVariations`.
+The executable reads coefficients in ascending order, while `Polynomial.coeffList` reads them
+in descending order, so the remaining bridge is reversal invariance. -/
+
+/-- Reading a list forwards or backwards gives the same number of sign variations. -/
+theorem signVariations_reverse {α : Type*} [Zero α] [LinearOrder α] (l : List α) :
+    List.signVariations l.reverse = List.signVariations l := by
+  have h (m : List SignType) :
+      (m.reverse.destutter (· ≠ ·)).length ≤ (m.destutter (· ≠ ·)).length := by
+    have hc : (m.reverse.destutter (· ≠ ·)).reverse.IsChain (· ≠ ·) := by
+      rw [List.isChain_reverse]
+      simpa only [ne_comm] using List.isChain_destutter (· ≠ ·) m.reverse
+    simpa using hc.length_le_length_destutter_ne
+      (by simpa using (List.destutter_sublist (· ≠ ·) m.reverse).reverse)
+  have heq (m : List SignType) :
+      (m.reverse.destutter (· ≠ ·)).length = (m.destutter (· ≠ ·)).length :=
+    Nat.le_antisymm (h m) (by simpa using h m.reverse)
+  simp only [List.signVariations, List.map_reverse, List.filter_reverse, heq]
+
+/-- Sign variations of the ascending coefficient list equal those of the descending
+`Polynomial.coeffList`. -/
 theorem sturm_signVariations_range_eq (P : Polynomial ℝ) :
-    Sturm.signVariations ((List.range (P.natDegree + 1)).map P.coeff)
+    List.signVariations ((List.range (P.natDegree + 1)).map P.coeff)
       = Polynomial.signVariations P := by
   by_cases hP : P = 0
-  · subst hP
-    simp [Sturm.signVariations]
+  · subst P
+    simp
   have hasc_rev : ((List.range (P.natDegree + 1)).map P.coeff).reverse = P.coeffList := by
     rw [Polynomial.coeffList, Polynomial.withBotSucc_degree_eq_natDegree_add_one hP,
       List.map_reverse]
   rw [← signVariations_reverse ((List.range (P.natDegree + 1)).map P.coeff), hasc_rev]
-  -- Now: Sturm.signVariations (coeffList P) = Polynomial.signVariations P.
-  have hp : ((fun s : SignType => decide (s ≠ 0)) ∘ SignType.sign)
-      = (fun v : ℝ => decide (v ≠ 0)) := by
-    funext v
-    by_cases h : v = 0 <;> simp [Function.comp_apply, h, sign_eq_zero_iff]
-  have hfilters : (P.coeffList.filter (fun v : ℝ => decide (v ≠ 0))).map SignType.sign
-      = (P.coeffList.map SignType.sign).filter (fun s : SignType => decide (s ≠ 0)) := by
-    rw [List.filter_map, hp]
-  simp only [Sturm.signVariations, Polynomial.signVariations]
-  rw [countSignChanges_eq_destutter _ (fun x hx => by simpa using (List.mem_filter.mp hx).2),
-    hfilters]
+  rfl
 
 /-- Casting an integer's sign to `ℝ` preserves `SignType.sign`. -/
 private theorem sign_intCast_sign' (n : Int) :
     SignType.sign ((n.sign : ℝ)) = SignType.sign ((n : ℝ)) := by
-  rcases lt_trichotomy n 0 with h | h | h
-  · rw [Int.sign_eq_neg_one_of_neg h]
-    have h2 : (n : ℝ) < 0 := by exact_mod_cast h
-    rw [show ((-1 : Int) : ℝ) = -1 by norm_num, sign_neg (by norm_num), sign_neg h2]
-  · subst h; simp
-  · rw [Int.sign_eq_one_of_pos h]
-    have h2 : (0 : ℝ) < (n : ℝ) := by exact_mod_cast h
-    rw [show ((1 : Int) : ℝ) = 1 by norm_num, sign_pos (by norm_num), sign_pos h2]
+  simp only [sign_intCast]
+  rw [Int.sign_eq_sign]
+  cases SignType.sign n <;> decide
 
 /-- The stored coefficient list is the range map of the coefficient function. -/
 private theorem toArray_toList_eq_range_map (q : Hex.ZPoly) :
@@ -690,7 +611,7 @@ private theorem toArray_toList_eq_range_map (q : Hex.ZPoly) :
 /-- **Descartes variation bridge.** The executable `Hex.descartesVar q` equals
 Mathlib's `Polynomial.signVariations (toPolyℝ q)`. The executable count is on the
 ascending sign list; the abstract count on the descending `coeffList`; the two
-agree by reversal invariance and the `destutter` identity above. -/
+agree by reversal invariance. -/
 theorem descartesVar_eq_signVariations (q : Hex.ZPoly) :
     Hex.descartesVar q = Polynomial.signVariations (toPolyℝ q) := by
   by_cases hq : q = 0
@@ -714,14 +635,13 @@ theorem descartesVar_eq_signVariations (q : Hex.ZPoly) :
     simp
   show Hex.signVar (q.toArray.toList.map Int.sign) = _
   rw [signVar_eq,
-    show Sturm.signVariations ((q.toArray.toList.map Int.sign).map (Int.cast : ℤ → ℝ))
-        = Sturm.signVariations (q.toArray.toList.map (Int.cast : ℤ → ℝ)) from ?_,
+    show List.signVariations ((q.toArray.toList.map Int.sign).map (Int.cast : ℤ → ℝ))
+        = List.signVariations (q.toArray.toList.map (Int.cast : ℤ → ℝ)) from ?_,
     hlist]
   · exact sturm_signVariations_range_eq (toPolyℝ q)
-  · apply Sturm.signVariations_congr
-    rw [List.map_map, List.forall₂_map_left_iff, List.forall₂_map_right_iff,
-      List.forall₂_same]
-    intro x _
+  · apply List.signVariations_congr
+    simp only [List.map_map]
+    refine List.map_congr_left fun x _ => ?_
     exact sign_intCast_sign' x
 
 /-! # The executable bridge: `Hex.mobiusTransform` is `mobiusPoly` up to `2^{s·n}`
diff --git a/HexRealRootsMathlib/README.md b/HexRealRootsMathlib/README.md
index 25bef8e2cf..00ac9dc277 100644
--- a/HexRealRootsMathlib/README.md
+++ b/HexRealRootsMathlib/README.md
@@ -55,7 +55,9 @@ of the chain certifies separability as well as the root count.
 The general Sturm theorems use only Mathlib types. `Sturm.IsSturmChain.sturm_Ioc`
 counts roots on `(a, b]`, including equal endpoints, and `Sturm.IsSturmChain.sturm`
 counts roots on the real line. Their hypothesis is that the multiset of real
-roots has no duplicates.
+roots has no duplicates. The variation counts use Mathlib’s `List.signVariations`;
+`HexRealRootsMathlib.signVar_eq_list` identifies the Mathlib-free executable counter
+with this API.
 
 The corresponding Mathlib sources can be checked with
 `python3 scripts/check_sturm_sync.py /path/to/mathlib` from `hex-dev`.
diff --git a/HexRealRootsMathlib/RealRootCount.lean b/HexRealRootsMathlib/RealRootCount.lean
index 83b3aa96a9..45304a0108 100644
--- a/HexRealRootsMathlib/RealRootCount.lean
+++ b/HexRealRootsMathlib/RealRootCount.lean
@@ -11,6 +11,7 @@ public import Mathlib.Tactic.ComputeDegree
 public import Mathlib.Tactic.NormNum
 public import HexPolyZMathlib.PolyParse
 public meta import HexPolyZMathlib.PolyParse
+public meta import Mathlib.Data.List.SignVariations
 public meta import HexRealRoots.Chain
 public meta import HexPoly.Euclid.DivGcd
 
@@ -65,15 +66,6 @@ private def remainderIdentity (p q r : Array Int) : RemainderIdentity := Id.run
   return ⟨left, quotient.coeffs.map (fun c => (c * (left : Rat)).num),
     (right * (left : Rat)).num⟩
 
-private def variations (xs : Array Int) : Nat := Id.run do
-  let mut last := 0
-  let mut n := 0
-  for x in xs do
-    if x != 0 then
-      if last * x < 0 then n := n + 1
-      last := x
-  return n
-
 private def emit (pStx : TSyntax `term) (p : Hex.ZPoly)
     (unfolds : Array (TSyntax ``Parser.Tactic.simpLemma)) : TermElabM (TSyntax `term) := do
   let _ : Inhabited Hex.ZPoly := ⟨Hex.DensePoly.C 0⟩
@@ -123,8 +115,8 @@ private def emit (pStx : TSyntax `term) (p : Hex.ZPoly)
       (show (0 : ℝ) < $a by norm_num) (show (0 : ℝ) < $b by norm_num)
       (by norm_num [map_ofNat] <;> ring))
   let a ← intTerm ((p.coeff (p.size - 1) * (p.size - 1 : Nat)) / cs[1]!.back!)
-  let pos := variations (cs.map Array.back!)
-  let neg := variations (cs.map fun c => c.back! * (-1) ^ (c.size - 1))
+  let pos := (cs.map Array.back!).toList.signVariations
+  let neg := (cs.map fun c => c.back! * (-1) ^ (c.size - 1)).toList.signVariations
   let n := Syntax.mkNumLit (toString (neg - pos))
   `(by
     $facts:tactic*
@@ -135,7 +127,7 @@ private def emit (pStx : TSyntax `term) (p : Hex.ZPoly)
       (by norm_num [map_ofNat, $unfolds,*] <;> ring)
       (by simp only [Sturm.sturmVarNegInf, Sturm.sturmVarPosInf,
             List.map_cons, List.map_nil, *]
-          norm_num [Sturm.signVariations, Sturm.countSignChanges]))
+          norm_num [List.signVariations_cons_cons_of_ne_zero, sign_apply]))
 
 /-- Compute and certify the number of distinct real roots of a closed squarefree
 integer-coefficient polynomial over `ℚ` of positive degree. -/
diff --git a/HexRealRootsMathlib/SPEC/hex-real-roots-mathlib.md b/HexRealRootsMathlib/SPEC/hex-real-roots-mathlib.md
index 7c2dcfbb56..04cd2d26cc 100644
--- a/HexRealRootsMathlib/SPEC/hex-real-roots-mathlib.md
+++ b/HexRealRootsMathlib/SPEC/hex-real-roots-mathlib.md
@@ -50,7 +50,9 @@ All names checked against the current Mathlib revision:
 
 ## Sturm development (self-contained, upstreamable)
 
-Stated for `Polynomial ℝ`, with no reference to Hex types.
+Stated for `Polynomial ℝ`, with no reference to Hex types. The pointwise and infinity
+counts use Mathlib’s `List.signVariations`, including its zero-skipping and sign-congruence
+API. The bridge proves that the Mathlib-free `Hex.signVar` agrees with this count.
 
 ```lean
 /-- A generalised Sturm chain for `p`: the sign axioms that the
diff --git a/HexRealRootsMathlib/Separation.lean b/HexRealRootsMathlib/Separation.lean
index 5e22c8c7a1..2657789cdf 100644
--- a/HexRealRootsMathlib/Separation.lean
+++ b/HexRealRootsMathlib/Separation.lean
@@ -45,9 +45,7 @@ noncomputable section
 /-- Real value of a dyadic number, through `Dyadic.toRat`. -/
 def Dyadic.toReal (x : Dyadic) : ℝ := (x.toRat : ℝ)
 
-/-- `Dyadic.toReal` is the rational cast of `toRat`. A plain-import restatement
-of the definition, so downstream modules that do not `import all` this file can
-still bridge `Dyadic.toReal` to the `ℚ`-valued endpoints of an isolation. -/
+/-- The real value of a dyadic is the cast of its rational value. -/
 @[simp] theorem toReal_eq_cast_toRat (x : Dyadic) : Dyadic.toReal x = (x.toRat : ℝ) := by
   unfold Dyadic.toReal
   rfl
diff --git a/HexRealRootsMathlib/SturmChainDefs.lean b/HexRealRootsMathlib/SturmChainDefs.lean
index 487c8a69db..b662d05c48 100644
--- a/HexRealRootsMathlib/SturmChainDefs.lean
+++ b/HexRealRootsMathlib/SturmChainDefs.lean
@@ -6,7 +6,7 @@ Authors: Kim Morrison
 
 module
 
-public import Mathlib.Data.Sign.Basic
+public import Mathlib.Data.List.SignVariations
 public import Mathlib.Algebra.Polynomial.Eval.Defs
 public import Mathlib.Algebra.Polynomial.Degree.Defs
 public import Mathlib.Topology.Instances.Real.Lemmas
@@ -24,7 +24,7 @@ Sturm's theorem. The chain need not be produced by Euclidean division.
 
 ## Main definitions
 
-* `Sturm.signVariations`: sign variations with zero entries removed.
+* `List.signVariations`: sign variations with zero entries removed.
 * `Sturm.sturmVar`: sign variations of polynomial evaluations at a real point.
 * `Sturm.sturmVarPosInf` and `Sturm.sturmVarNegInf`: sign variations at infinity.
 * `Sturm.IsSturmChain`: the local sign conditions for a generalized Sturm chain.
@@ -36,52 +36,11 @@ open Filter Topology
 
 namespace Sturm
 
-/-- Count the sign changes of a real list: the number of adjacent pairs
-whose product is negative. Callers first drop the zero entries (see
-`Sturm.signVariations`), so on a zero-free list this is exactly the number
-of adjacent opposite-sign pairs. -/
-@[expose]
-noncomputable def countSignChanges : List ℝ → ℕ
-  | a :: b :: rest => (if a * b < 0 then 1 else 0) + countSignChanges (b :: rest)
-  | _ => 0
-
-@[simp] theorem countSignChanges_nil : countSignChanges [] = 0 := rfl
-
-@[simp] theorem countSignChanges_singleton (a : ℝ) : countSignChanges [a] = 0 := rfl
-
-theorem countSignChanges_cons_cons (a b : ℝ) (rest : List ℝ) :
-    countSignChanges (a :: b :: rest) =
-      (if a * b < 0 then 1 else 0) + countSignChanges (b :: rest) := rfl
-
-/-- Zero-skipping sign variations of a real list: drop the zeros, then count
-the adjacent opposite-sign pairs. This is the variation count that both the
-pointwise chain evaluations and the leading-coefficient signs at `±∞` feed
-into. -/
-@[expose]
-noncomputable def signVariations (l : List ℝ) : ℕ :=
-  countSignChanges (l.filter (fun v => decide (v ≠ 0)))
-
-@[simp] theorem signVariations_nil : signVariations [] = 0 := rfl
-
-@[simp] theorem signVariations_singleton (a : ℝ) : signVariations [a] = 0 := by
-  by_cases ha : a = 0 <;> simp [signVariations, ha]
-
-/-- Prepending a zero entry does not change the sign variations. -/
-@[simp] theorem signVariations_cons_zero (l : List ℝ) :
-    signVariations (0 :: l) = signVariations l := by
-  simp [signVariations]
-
-/-- A nonzero first entry survives removal of zero entries. -/
-theorem signVariations_cons_ne (a : ℝ) (l : List ℝ) (ha : a ≠ 0) :
-    signVariations (a :: l) =
-      countSignChanges (a :: l.filter (fun v => decide (v ≠ 0))) := by
-  simp [signVariations, ha]
-
 /-- Zero-skipping sign variations of the chain `chain` evaluated at `x`:
 the sign variations of the list of evaluations `chain.map (·.eval x)`. -/
 @[expose]
 noncomputable def sturmVar (chain : List (Polynomial ℝ)) (x : ℝ) : ℕ :=
-  signVariations (chain.map (Polynomial.eval x))
+  List.signVariations (chain.map (Polynomial.eval x))
 
 @[simp] theorem sturmVar_nil (x : ℝ) : sturmVar [] x = 0 := rfl
 
@@ -90,46 +49,7 @@ noncomputable def sturmVar (chain : List (Polynomial ℝ)) (x : ℝ) : ℕ :=
 theorem sturmVar_cons_zero {q : Polynomial ℝ} {x : ℝ} (h : q.eval x = 0)
     (chain : List (Polynomial ℝ)) :
     sturmVar (q :: chain) x = sturmVar chain x := by
-  simp [sturmVar, List.map_cons, signVariations, h]
-
-/-- Two real lists whose entries have pointwise equal signs have equal
-`countSignChanges`: the sign-change count reads only the signs of the entries. -/
-theorem countSignChanges_congr {l₁ l₂ : List ℝ}
-    (h : List.Forall₂ (fun u v => SignType.sign u = SignType.sign v) l₁ l₂) :
-    countSignChanges l₁ = countSignChanges l₂ := by
-  induction h with
-  | nil => rfl
-  | @cons a b l₁' l₂' hab htail ih =>
-    cases htail with
-    | nil => rfl
-    | @cons c d l₁'' l₂'' hcd _ =>
-      rw [countSignChanges_cons_cons, countSignChanges_cons_cons]
-      have hiff : (a * c < 0) ↔ (b * d < 0) := by
-        rw [← sign_eq_neg_one_iff, ← sign_eq_neg_one_iff, sign_mul, sign_mul, hab, hcd]
-      simp only [hiff, ih]
-
-/-- Dropping the zero entries commutes with a pointwise sign-equal
-correspondence: the filtered lists remain pointwise sign-equal. -/
-private theorem filter_ne_zero_congr {l₁ l₂ : List ℝ}
-    (h : List.Forall₂ (fun u v => SignType.sign u = SignType.sign v) l₁ l₂) :
-    List.Forall₂ (fun u v => SignType.sign u = SignType.sign v)
-      (l₁.filter (fun v => decide (v ≠ 0))) (l₂.filter (fun v => decide (v ≠ 0))) := by
-  induction h with
-  | nil => exact List.Forall₂.nil
-  | @cons a b l₁' l₂' hab htail ih =>
-    have hzero : (a = 0) ↔ (b = 0) := by
-      rw [← sign_eq_zero_iff (a := a), ← sign_eq_zero_iff (a := b), hab]
-    by_cases ha : a = 0
-    · simpa [ha, hzero.mp ha] using ih
-    · simpa [ha, mt hzero.mpr ha] using
-        List.Forall₂.cons (R := fun u v : ℝ => SignType.sign u = SignType.sign v) hab ih
-
-/-- `signVariations` reads only the signs of the entries: two real lists whose
-entries are pointwise sign-equal have equal sign variations. -/
-theorem signVariations_congr {l₁ l₂ : List ℝ}
-    (h : List.Forall₂ (fun u v => SignType.sign u = SignType.sign v) l₁ l₂) :
-    signVariations l₁ = signVariations l₂ :=
-  countSignChanges_congr (filter_ne_zero_congr h)
+  simp [sturmVar, h]
 
 /-- The sign of the first nonzero entry of a real list, or `0` if every entry is zero. -/
 @[expose]
@@ -145,29 +65,26 @@ noncomputable def firstSign (l : List ℝ) : SignType :=
     firstSign (a :: l) = SignType.sign a := by
   simp [firstSign, ha]
 
-private theorem sign_mul_eq_neg_one {a b : ℝ} :
-    (SignType.sign a * SignType.sign b = -1) ↔ a * b < 0 := by
-  rw [← sign_mul, sign_eq_neg_one_iff]
-
 /-- Prepending a nonzero entry `a` adds one variation exactly when its sign is
 opposite the sign of the next surviving entry. -/
 theorem signVariations_cons {a : ℝ} (l : List ℝ) (ha : a ≠ 0) :
-    signVariations (a :: l) =
-      (if SignType.sign a * firstSign l = -1 then 1 else 0) + signVariations l := by
+    List.signVariations (a :: l) =
+      (if SignType.sign a * firstSign l = -1 then 1 else 0) + List.signVariations l := by
   induction l with
-  | nil => rw [signVariations_cons_ne a [] ha]; simp [firstSign]
-  | cons b l' ih =>
+  | nil => simp [firstSign]
+  | cons b l ih =>
     by_cases hb : b = 0
-    · subst hb
-      rw [firstSign_cons_zero l', signVariations_cons_zero l',
-        signVariations_cons_ne a (0 :: l') ha, List.filter_cons_of_neg (by simp),
-        ← signVariations_cons_ne a l' ha]
-      exact ih
-    · rw [firstSign_cons_ne l' hb, signVariations_cons_ne a (b :: l') ha,
-        List.filter_cons_of_pos (by simp [hb]), countSignChanges_cons_cons,
-        ← signVariations_cons_ne b l' hb]
-      congr 1
-      simp only [sign_mul_eq_neg_one]
+    · subst b
+      simpa only [List.signVariations_cons_zero_cons, List.signVariations_zero_cons,
+        firstSign_cons_zero] using ih
+    · rw [firstSign_cons_ne l hb, List.signVariations_cons_cons_of_ne_zero l ha hb]
+      have ha' : SignType.sign a ≠ 0 := by simpa using ha
+      have hb' : SignType.sign b ≠ 0 := by simpa using hb
+      have h : (if SignType.sign a = SignType.sign b then (0 : ℕ) else 1) =
+          (if SignType.sign a * SignType.sign b = -1 then 1 else 0) := by
+        revert ha' hb'
+        cases SignType.sign a <;> cases SignType.sign b <;> decide
+      rw [h, Nat.add_comm]
 
 /-- Sign variations of the chain at `+∞`: the sign of each element there is the
 sign of its leading coefficient, so this is the zero-skipping variation count
@@ -175,14 +92,14 @@ of the leading coefficients. The zero polynomial contributes leading
 coefficient `0`, which the zero-skipping convention drops. -/
 @[expose]
 noncomputable def sturmVarPosInf (chain : List (Polynomial ℝ)) : ℕ :=
-  signVariations (chain.map Polynomial.leadingCoeff)
+  List.signVariations (chain.map Polynomial.leadingCoeff)
 
 /-- Sign variations of the chain at `−∞`: the sign of an element there is the
 sign of its leading coefficient times `(-1) ^ degree`, so this is the
 zero-skipping variation count of `leadingCoeff · (-1) ^ natDegree`. -/
 @[expose]
 noncomputable def sturmVarNegInf (chain : List (Polynomial ℝ)) : ℕ :=
-  signVariations (chain.map (fun q => q.leadingCoeff * (-1) ^ q.natDegree))
+  List.signVariations (chain.map (fun q => q.leadingCoeff * (-1) ^ q.natDegree))
 
 /-- A generalized Sturm chain for a real polynomial.
 
diff --git a/HexRealRootsMathlib/SturmTests.lean b/HexRealRootsMathlib/SturmTests.lean
index 7e597a3fad..c3dee4678f 100644
--- a/HexRealRootsMathlib/SturmTests.lean
+++ b/HexRealRootsMathlib/SturmTests.lean
@@ -16,18 +16,18 @@ private theorem linearChain : IsSturmChain (X : ℝ[X]) [X, 1] := by
 
 -- A root at the right endpoint is counted.
 example : ((X : ℝ[X]).roots.filter (fun r => r ∈ Set.Ioc (-1) 0)).card = 1 := by
-  simpa [sturmVar, signVariations, countSignChanges] using
+  simpa [sturmVar, List.signVariations_cons_cons_of_ne_zero, sign_apply] using
     linearChain.sturm_Ioc (by simp) (show (-1 : ℝ) ≤ 0 by norm_num)
 
 -- A root at the left endpoint is excluded.
 example : ((X : ℝ[X]).roots.filter (fun r => r ∈ Set.Ioc 0 1)).card = 0 := by
   convert linearChain.sturm_Ioc (by simp) (show (0 : ℝ) ≤ 1 by norm_num) using 1 <;>
-    norm_num [sturmVar, signVariations, countSignChanges]
+    norm_num [sturmVar, List.signVariations_cons_cons_of_ne_zero, sign_apply]
 
 -- Equal endpoints are permitted, including when that endpoint is a root.
 example : ((X : ℝ[X]).roots.filter (fun r => r ∈ Set.Ioc 0 0)).card = 0 := by
   convert linearChain.sturm_Ioc (by simp) (le_refl (0 : ℝ)) using 1 <;>
-    norm_num [sturmVar, signVariations, countSignChanges]
+    norm_num [sturmVar, List.signVariations_cons_cons_of_ne_zero, sign_apply]
 
 -- The single-entry chain of a nonzero constant is a valid Sturm chain.
 private theorem constantChain : IsSturmChain (1 : ℝ[X]) [1] where
@@ -41,4 +41,4 @@ private theorem constantChain : IsSturmChain (1 : ℝ[X]) [1] where
 
 example : (1 : ℝ[X]).roots.card = 0 := by
   convert constantChain.sturm (by simp) using 1 <;>
-    norm_num [sturmVarNegInf, sturmVarPosInf, signVariations, countSignChanges]
+    norm_num [sturmVarNegInf, sturmVarPosInf, List.signVariations_cons_cons_of_ne_zero, sign_apply]
diff --git a/HexRealRootsMathlib/SturmTheorem.lean b/HexRealRootsMathlib/SturmTheorem.lean
index 509ec50fa7..51a0c78b98 100644
--- a/HexRealRootsMathlib/SturmTheorem.lean
+++ b/HexRealRootsMathlib/SturmTheorem.lean
@@ -42,7 +42,7 @@ namespace Sturm
 
 /-- A local sign-pattern relation between two real lists: they agree entry by
 entry except that a nonzero entry flanked by two opposite-sign neighbours may
-collapse to `0`. Such a collapse is variation-neutral, so `signVariations` and
+collapse to `0`. Such a collapse is variation-neutral, so `List.signVariations` and
 the leading sign are preserved (`SignRelation.signVariations_eq`). -/
 private inductive SignRelation : List ℝ → List ℝ → Prop
   | nil : SignRelation [] []
@@ -63,7 +63,7 @@ private theorem sign_changes_of_opposite (u v w : SignType) (huw : u * w = -1) (
 
 /-- Lists related by `SignRelation` have equal sign variations and equal leading signs. -/
 private theorem SignRelation.signVariations_eq {L M : List ℝ} (h : SignRelation L M) :
-    signVariations L = signVariations M ∧ firstSign L = firstSign M := by
+    List.signVariations L = List.signVariations M ∧ firstSign L = firstSign M := by
   induction h with
   | nil => exact ⟨rfl, rfl⟩
   | @same x y l m hx hy hs h ih =>
@@ -76,13 +76,12 @@ private theorem SignRelation.signVariations_eq {L M : List ℝ} (h : SignRelatio
     have hx' : x' ≠ 0 := by
       intro hx0; rw [hx0, sign_zero] at hsx; exact hx (sign_eq_zero_iff.mp hsx)
     refine ⟨?_, ?_⟩
-    · -- signVariations L
-      rw [signVariations_cons (X :: y :: l) hx,
+    · rw [signVariations_cons (X :: y :: l) hx,
         firstSign_cons_ne (y :: l) hX, signVariations_cons (y :: l) hX,
         firstSign_cons_ne l hy]
       rw [signVariations_cons (0 :: y' :: m) hx',
         firstSign_cons_zero (y' :: m), firstSign_cons_ne m hy',
-        signVariations_cons_zero]
+        List.signVariations_zero_cons]
       rw [← add_assoc, ih.1]
       congr 1
       rw [← hsx, ← hsy, ite_eq_left hopp]
@@ -184,11 +183,11 @@ theorem sturmVar_const_of_no_zero
     (a b : ℝ) (hab : a ≤ b)
     (hz : ∀ q ∈ chain, ∀ x ∈ Set.Icc a b, q.eval x ≠ 0) :
     sturmVar chain a = sturmVar chain b := by
-  change signVariations (chain.map (Polynomial.eval a))
-    = signVariations (chain.map (Polynomial.eval b))
-  apply signVariations_congr
-  rw [List.forall₂_map_left_iff, List.forall₂_map_right_iff, List.forall₂_same]
-  intro q hq
+  change List.signVariations (chain.map (Polynomial.eval a))
+    = List.signVariations (chain.map (Polynomial.eval b))
+  apply List.signVariations_congr
+  simp only [List.map_map]
+  refine List.map_congr_left fun q hq => ?_
   exact eval_sign_eq_of_no_zero hab (fun x hx => hz q hq x hx)
 
 /-- Crossing a zero of an interior entry preserves the variation count. -/
@@ -208,16 +207,16 @@ theorem sturmVar_interior_cross (hchain : IsSturmChain p chain) (r : ℝ)
       q0.eval r ≠ 0 ∧ q2.eval r ≠ 0 ∧ q0.eval r * q2.eval r < 0 :=
     fun i q0 q1 q2 h0 h1 h2 hz => hchain.interior_alternates i r q0 q1 q2 h0 h1 h2 hz
   constructor
-  · change signVariations (chain.map (Polynomial.eval a))
-      = signVariations (chain.map (Polynomial.eval r))
+  · change List.signVariations (chain.map (Polynomial.eval a))
+      = List.signVariations (chain.map (Polynomial.eval r))
     refine (signRelation_eval a r chain (fun q hq => hz q hq a ⟨le_refl a, hab⟩ (ne_of_lt har))
       hfront hlast halt (fun q hq hqr => ?_)).signVariations_eq.1
     exact eval_sign_eq_of_no_zero har.le (fun x hx => by
       by_cases hxr : x = r
       · rw [hxr]; exact hqr
       · exact hz q hq x ⟨hx.1, hx.2.trans hrb.le⟩ hxr)
-  · change signVariations (chain.map (Polynomial.eval r))
-      = signVariations (chain.map (Polynomial.eval b))
+  · change List.signVariations (chain.map (Polynomial.eval r))
+      = List.signVariations (chain.map (Polynomial.eval b))
     refine ((signRelation_eval b r chain
       (fun q hq => hz q hq b ⟨hab, le_refl b⟩ (ne_of_lt hrb).symm)
       hfront hlast halt (fun q hq hqr => ?_)).signVariations_eq.1).symm
@@ -316,21 +315,21 @@ theorem sturmVar_root_cross (hchain : IsSturmChain p chain) (r : ℝ) (hr : p.Is
       hfront_rest hlast_rest halt_rest hsame_b).signVariations_eq.1
   -- Head-pair bookkeeping at each point.
   have hSVa : sturmVar (p :: q :: tail) a = 1 + sturmVar (q :: tail) a := by
-    change signVariations (p.eval a :: (q :: tail).map (Polynomial.eval a))
-      = 1 + signVariations ((q :: tail).map (Polynomial.eval a))
+    change List.signVariations (p.eval a :: (q :: tail).map (Polynomial.eval a))
+      = 1 + List.signVariations ((q :: tail).map (Polynomial.eval a))
     rw [signVariations_cons _ hpa]
     simp only [List.map_cons]
     rw [firstSign_cons_ne _ hqa, ite_eq_left hsignA]
   have hSVb : sturmVar (p :: q :: tail) b = sturmVar (q :: tail) b := by
-    change signVariations (p.eval b :: (q :: tail).map (Polynomial.eval b))
-      = signVariations ((q :: tail).map (Polynomial.eval b))
+    change List.signVariations (p.eval b :: (q :: tail).map (Polynomial.eval b))
+      = List.signVariations ((q :: tail).map (Polynomial.eval b))
     rw [signVariations_cons _ hpb]
     simp only [List.map_cons]
     rw [firstSign_cons_ne _ hqb, ite_eq_right hsignB, zero_add]
   have hSVr : sturmVar (p :: q :: tail) r = sturmVar (q :: tail) r := by
-    change signVariations (p.eval r :: (q :: tail).map (Polynomial.eval r))
-      = signVariations ((q :: tail).map (Polynomial.eval r))
-    rw [hpr0]; exact signVariations_cons_zero _
+    change List.signVariations (p.eval r :: (q :: tail).map (Polynomial.eval r))
+      = List.signVariations ((q :: tail).map (Polynomial.eval r))
+    rw [hpr0]; exact List.signVariations_zero_cons _
   refine ⟨?_, ?_⟩
   · rw [hSVa, hSVb, hEqA, hEqB]; omega
   · rw [hSVr, hSVb]; exact hEqB.symm
@@ -593,17 +592,17 @@ theorem IsSturmChain.sturm (hchain : IsSturmChain p chain) (hnod : p.roots.Nodup
     have hya := hM y hyz; rw [abs_lt] at hya; exact hya.1
   -- Hence `sturmVar` at `±M` equals the `±∞` counts.
   have hMposEq : sturmVar chain M = sturmVarPosInf chain := by
-    change signVariations (chain.map (Polynomial.eval M))
-      = signVariations (chain.map Polynomial.leadingCoeff)
-    apply signVariations_congr
-    rw [List.forall₂_map_left_iff, List.forall₂_map_right_iff, List.forall₂_same]
-    exact hpos
+    change List.signVariations (chain.map (Polynomial.eval M))
+      = List.signVariations (chain.map Polynomial.leadingCoeff)
+    apply List.signVariations_congr
+    simp only [List.map_map]
+    exact List.map_congr_left hpos
   have hMnegEq : sturmVar chain (-M) = sturmVarNegInf chain := by
-    change signVariations (chain.map (Polynomial.eval (-M)))
-      = signVariations (chain.map (fun q => q.leadingCoeff * (-1) ^ q.natDegree))
-    apply signVariations_congr
-    rw [List.forall₂_map_left_iff, List.forall₂_map_right_iff, List.forall₂_same]
-    exact hneg
+    change List.signVariations (chain.map (Polynomial.eval (-M)))
+      = List.signVariations (chain.map (fun q => q.leadingCoeff * (-1) ^ q.natDegree))
+    apply List.signVariations_congr
+    simp only [List.map_map]
+    exact List.map_congr_left hneg
   -- Apply the half-open form on `(-M, M]`, which catches every root.
   have hkey := hchain.sturm_Ioc hnod (a := -M) (b := M) (by linarith)
   have hfilter : p.roots.filter (fun r => r ∈ Set.Ioc (-M) M) = p.roots := by
diff --git a/HexTruncatedSeriesMathlib/Newton.lean b/HexTruncatedSeriesMathlib/Newton.lean
index ea401ea089..a2488ce4cb 100644
--- a/HexTruncatedSeriesMathlib/Newton.lean
+++ b/HexTruncatedSeriesMathlib/Newton.lean
@@ -244,15 +244,15 @@ theorem ofPowerSeries_exp [CommRing R] [Algebra ℚ R]
     rw [coeff_ofPowerSeries _ 0 hnpos,
       PowerSeries.coeff_zero_eq_constantCoeff_apply,
       PowerSeries.constantCoeff_exp]
-  have hchain : PowerSeries.derivative R ((PowerSeries.exp R).subst f) =
-      (PowerSeries.exp R).subst f * PowerSeries.derivative R f := by
+  have hchain : PowerSeries.derivative ((PowerSeries.exp R).subst f) =
+      (PowerSeries.exp R).subst f * PowerSeries.derivative f := by
     calc
-      PowerSeries.derivative R ((PowerSeries.exp R).subst f) =
-          (PowerSeries.derivative R (PowerSeries.exp R)).subst f *
-            PowerSeries.derivative R f :=
+      PowerSeries.derivative ((PowerSeries.exp R).subst f) =
+          (PowerSeries.derivative (PowerSeries.exp R)).subst f *
+            PowerSeries.derivative f :=
         PowerSeries.derivative_subst
           (PowerSeries.HasSubst.of_constantCoeff_zero' h)
-      _ = (PowerSeries.exp R).subst f * PowerSeries.derivative R f := by
+      _ = (PowerSeries.exp R).subst f * PowerSeries.derivative f := by
         rw [PowerSeries.derivative_exp]
   have ht := congrArg (ofPowerSeriesHom (R := R) (n := n - 1)) hchain
   simp only [RingHom.map_mul, ofPowerSeriesHom_apply] at ht
@@ -352,17 +352,17 @@ theorem ofPowerSeries_logOf [CommRing R] [Algebra ℚ R]
       _ = 1 := by
         simpa only [PowerSeries.coe_substAlgHom] using
           (map_one (PowerSeries.substAlgHom hqSub))
-  have hchain : PowerSeries.derivative R (PowerSeries.logOf f) =
-      g * PowerSeries.derivative R f := by
+  have hchain : PowerSeries.derivative (PowerSeries.logOf f) =
+      g * PowerSeries.derivative f := by
     rw [PowerSeries.logOf_eq]
     calc
-      PowerSeries.derivative R ((PowerSeries.log R).subst q) =
-          (PowerSeries.derivative R (PowerSeries.log R)).subst q *
-            PowerSeries.derivative R q :=
+      PowerSeries.derivative ((PowerSeries.log R).subst q) =
+          (PowerSeries.derivative (PowerSeries.log R)).subst q *
+            PowerSeries.derivative q :=
         PowerSeries.derivative_subst hqSub
-      _ = g * PowerSeries.derivative R q := by
-        rw [PowerSeries.deriv_log]
-      _ = g * PowerSeries.derivative R f := by
+      _ = g * PowerSeries.derivative q := by
+        simp [PowerSeries.derivative_log, g, geom]
+      _ = g * PowerSeries.derivative f := by
         dsimp only [q]
         simp
   have ha0 : a.coeff 0 = 1 := by
diff --git a/HexTruncatedSeriesMathlib/Ops.lean b/HexTruncatedSeriesMathlib/Ops.lean
index 98dd0b8572..561bcdcd8e 100644
--- a/HexTruncatedSeriesMathlib/Ops.lean
+++ b/HexTruncatedSeriesMathlib/Ops.lean
@@ -115,7 +115,7 @@ derivative wherever both are represented. -/
 theorem coeff_deriv_ofPowerSeries [CommRing R] (f : PowerSeries R)
     (i : Nat) (hi : i < n - 1) :
     (deriv (ofPowerSeries (n := n) f)).coeff i =
-      PowerSeries.coeff i (PowerSeries.derivative R f) := by
+      PowerSeries.coeff i (PowerSeries.derivative f) := by
   rw [Hex.TSeries.coeff_deriv _ i hi,
     coeff_ofPowerSeries f (i + 1) (by omega), PowerSeries.coeff_derivative]
   simp only [Nat.cast_add, Nat.cast_one]
@@ -126,7 +126,7 @@ lost by differentiation. -/
 @[simp]
 theorem deriv_ofPowerSeries [CommRing R] (f : PowerSeries R) :
     (ofPowerSeries (n := n) f).deriv =
-      ofPowerSeries (n := n - 1) (PowerSeries.derivative R f) := by
+      ofPowerSeries (n := n - 1) (PowerSeries.derivative f) := by
   apply Hex.TSeries.ext
   intro i hi
   rw [coeff_ofPowerSeries _ i hi]
diff --git a/conformance/HexRealRootsMathlib/Conformance.lean b/conformance/HexRealRootsMathlib/Conformance.lean
index c83fa13c39..4ee03891ab 100644
--- a/conformance/HexRealRootsMathlib/Conformance.lean
+++ b/conformance/HexRealRootsMathlib/Conformance.lean
@@ -91,7 +91,7 @@ private theorem toPolyℝ_linear : toPolyℝ linear = X - C 5 := by
   match n with
   | 0 => norm_num [Array.getD]
   | 1 => norm_num [Array.getD]
-  | (k + 2) => norm_num [Array.getD]; omega
+  | (k + 2) => norm_num [Array.getD]
 
 private theorem toPolyℝ_quadPair : toPolyℝ quadPair = X ^ 2 - C 1 := by
   apply Polynomial.ext; intro n
@@ -101,7 +101,7 @@ private theorem toPolyℝ_quadPair : toPolyℝ quadPair = X ^ 2 - C 1 := by
   | 0 => norm_num [Array.getD]
   | 1 => norm_num [Array.getD]
   | 2 => norm_num [Array.getD]
-  | (k + 3) => norm_num [Array.getD]; omega
+  | (k + 3) => norm_num [Array.getD]
 
 private theorem toPolyℝ_quadNone : toPolyℝ quadNone = X ^ 2 + C 1 := by
   apply Polynomial.ext; intro n
@@ -111,7 +111,7 @@ private theorem toPolyℝ_quadNone : toPolyℝ quadNone = X ^ 2 + C 1 := by
   | 0 => norm_num [Array.getD]
   | 1 => norm_num [Array.getD]
   | 2 => norm_num [Array.getD]
-  | (k + 3) => norm_num [Array.getD]; omega
+  | (k + 3) => norm_num [Array.getD]
 
 private theorem toPolyℝ_cubicTriple : toPolyℝ cubicTriple = X ^ 3 - X := by
   apply Polynomial.ext; intro n
@@ -122,7 +122,7 @@ private theorem toPolyℝ_cubicTriple : toPolyℝ cubicTriple = X ^ 3 - X := by
   | 1 => norm_num [Array.getD]
   | 2 => norm_num [Array.getD]
   | 3 => norm_num [Array.getD]
-  | (k + 4) => norm_num [Array.getD]; omega
+  | (k + 4) => norm_num [Array.getD]
 
 private theorem toPolyℝ_const7 : toPolyℝ const7 = C 7 := by
   apply Polynomial.ext; intro n
@@ -202,7 +202,7 @@ private theorem toPolyℚ_linear : toPolyℚ linear = X - C 5 := by
   match n with
   | 0 => norm_num [Array.getD]
   | 1 => norm_num [Array.getD]
-  | (k + 2) => norm_num [Array.getD]; omega
+  | (k + 2) => norm_num [Array.getD]
 
 private theorem squareFreeRat_linear : Hex.ZPoly.SquareFreeRat linear := by
   rw [squareFreeRat_iff linear (by decide)]
diff --git a/lake-manifest.json b/lake-manifest.json
index d153f06e7a..d67d814e95 100644
--- a/lake-manifest.json
+++ b/lake-manifest.json
@@ -5,10 +5,10 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "85e3a25e006c35636f0e53b0e9296caca2685bc0",
+   "rev": "1cf325a0cf67aca2b04d76b5380ff6a9e410aefa",
    "name": "mathlib",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.34.0-rc2",
+   "inputRev": "1cf325a0cf67aca2b04d76b5380ff6a9e410aefa",
    "inherited": false,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/kim-em/lean-bench.git",
@@ -35,17 +35,17 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "90c688db9db7280364c8bd7f8264c82a01582fd4",
+   "rev": "cad4b633e75ea769b851f12f9ca3b4f0dfcc625f",
    "name": "verso",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.34.0-rc2",
+   "inputRev": "v4.34.0",
    "inherited": false,
    "configFile": "lakefile.lean"},
   {"url": "https://github.com/leanprover-community/plausible",
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "d9598f07b1bc701f1e3aae163d2681c1fd978793",
+   "rev": "118aa17ee84656b8bd727fef7c458ee8c833385c",
    "name": "plausible",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -55,7 +55,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "ba67e212be1197b84c1f1f6299488a10a3002713",
+   "rev": "ddf04cf3949fa556442341e87d47f9f6e6074707",
    "name": "LeanSearchClient",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -65,7 +65,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "d8823026ac7ef130c253089d95685f9877b95323",
+   "rev": "e928b72544873815af278d38681b31c0293588e3",
    "name": "importGraph",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -75,7 +75,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "a8acbfd87375ff4abe14ce09db5b7664d383bc7f",
+   "rev": "106ff4fafc74ef4ac99d81dbf3ab399118f497a5",
    "name": "proofwidgets",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -85,7 +85,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "18889deb9e83ea7420ef51c160d6f88552e744e3",
+   "rev": "355695d523e41d0554926416cba2a2b3544fbbc9",
    "name": "aesop",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -95,7 +95,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "507746ab8f4b643ccdacb2ec4cdb5853fa9f8ab3",
+   "rev": "6a489d9af5d0c47e5b259e2e8bcdfc1811b5a259",
    "name": "Qq",
    "manifestFile": "lake-manifest.json",
    "inputRev": "master",
@@ -105,7 +105,7 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover-community",
-   "rev": "d54dddc581e08be364c278052863524bff7a99a9",
+   "rev": "f2effa3d803fda822b1f97b806c47cf2adfbcbc2",
    "name": "batteries",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -115,17 +115,17 @@
    "type": "git",
    "subDir": null,
    "scope": "leanprover",
-   "rev": "ab3a82db9fea14cf0fd7f5a2de650f4b534640af",
+   "rev": "e92c9f15fdfacc8536f31cfb3b7ad26c3c8cd204",
    "name": "Cli",
    "manifestFile": "lake-manifest.json",
-   "inputRev": "v4.34.0-rc2",
+   "inputRev": "v4.34.0",
    "inherited": true,
    "configFile": "lakefile.toml"},
   {"url": "https://github.com/leanprover/illuminate",
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "6e558472c981dbee8cb9fcde92fa9593daf04228",
+   "rev": "a1a61c9678da010e958ed24cdfa6f635b85f172a",
    "name": "illuminate",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
@@ -145,7 +145,7 @@
    "type": "git",
    "subDir": null,
    "scope": "",
-   "rev": "847084e80500726e4331dded5f17007ddaf89c31",
+   "rev": "9b90b7f938d6169246325df002351014f49945ef",
    "name": "subverso",
    "manifestFile": "lake-manifest.json",
    "inputRev": "main",
diff --git a/lakefile.lean b/lakefile.lean
index 2d076ae63d..327c99caca 100644
--- a/lakefile.lean
+++ b/lakefile.lean
@@ -12,7 +12,7 @@ package Hex where
   leanOptions := #[⟨`doc.verso, true⟩, ⟨`doc.verso.suggestions, false⟩]
 
 require verso from git
-  "https://github.com/leanprover/verso.git" @ "v4.34.0-rc2"
+  "https://github.com/leanprover/verso.git" @ "v4.34.0"
 
 -- Test-only native oracle. Released Hex libraries do not depend on it.
 require NautyFFI from git
@@ -23,7 +23,8 @@ require «lean-bench» from git
   "https://github.com/kim-em/lean-bench.git" @ "master"
 
 require mathlib from git
-  "https://github.com/leanprover-community/mathlib4.git" @ "v4.34.0-rc2"
+  "https://github.com/leanprover-community/mathlib4.git" @
+    "1cf325a0cf67aca2b04d76b5380ff6a9e410aefa"
 
 private def clmulOTarget (pkg : Package) : FetchM (Job FilePath) := do
   let oFile := pkg.dir / defaultBuildDir / "HexGF2" / "ffi" / "clmul.o"
diff --git a/lean-toolchain b/lean-toolchain
index b814d987e0..12359f928f 100644
--- a/lean-toolchain
+++ b/lean-toolchain
@@ -1 +1 @@
-leanprover/lean4:v4.34.0-rc2
+leanprover/lean4:v4.34.0
diff --git a/reports/bench-results/hexbz-factor-hex-factor-590a45eb7aeb.manifest b/reports/bench-results/hexbz-factor-hex-factor-590a45eb7aeb.manifest
new file mode 100644
index 0000000000..4e463b1067
--- /dev/null
+++ b/reports/bench-results/hexbz-factor-hex-factor-590a45eb7aeb.manifest
@@ -0,0 +1,191 @@
+100644 21e0d7dfe2ef602d6c61b6c4e70c7d2233897efc 0	Hex/BenchOracle/Carriers.lean
+100644 f86e97c524fad7fcdfd96c49491bb4b157ebe647 0	Hex/BenchOracle/Flint.lean
+100644 b40ff92191f6d955b4a5fcde35cc1eb03ebc5b3c 0	Hex/BenchOracle/Modular.lean
+100644 b3933da429eee62caf86122fa2b91646e3b65764 0	Hex/BenchOracle/Nauty.lean
+100644 67864822cc40d953e1324bc2f4224ab6d6f24e89 0	Hex/BenchOracle/Pari.lean
+100644 40e74af6db3c1bf7993ec50e6d91346076a2dbef 0	Hex/Conformance/Emit.lean
+100644 37049f16fd4de8d71e4fea95acf0da85bdf420ce 0	HexArith/Barrett/Accumulator.lean
+100644 9ce91028d8103d3f9a8d704365c4b8aa6028bc71 0	HexArith/Barrett/Context.lean
+100644 5e8e8f82b207b40d514011c462a06b13b061e93c 0	HexArith/Barrett/Reduce.lean
+100644 e7c27fd38459bb8cea2e7d7b38717ae70ed270de 0	HexArith/Barrett/ReduceNat.lean
+100644 28f3b16ef5ab02837d08c48e921db253e3a8ccaf 0	HexArith/ExactDiv.lean
+100644 7ac113b408c1c247b76434760fe4534befeda9ac 0	HexArith/ExtGcd.lean
+100644 96432dfbfd48de30418e99c170115b5d57c21edc 0	HexArith/Montgomery/Context.lean
+100644 8d9fbf0bf282af9fdc45c8bc64c8c5a32a66633d 0	HexArith/Montgomery/InvNat.lean
+100644 3e51b8b921374e508004114e4d5839267603dc97 0	HexArith/Montgomery/Redc.lean
+100644 f404c64465d1dc58bd343c1d13f9a17c5d5c65e4 0	HexArith/Montgomery/RedcNat.lean
+100644 72bc18c4080ed5d7daf368ce41f67527be699b37 0	HexArith/Nat/ModArith.lean
+100644 ad523f08c614335af242c32d0483518fb7be3626 0	HexArith/Nat/Pow.lean
+100644 79835bd403b7f80148457fdaaa135ced6340ae5c 0	HexArith/Nat/Prime.lean
+100644 d8e0eab8dd4f5868fb9bc81e2324f0edd111e120 0	HexArith/Nat/Sqrt.lean
+100644 56a55c1fb12787775e4eb1dd35f1d5ced7f11d42 0	HexArith/UInt64/Wide.lean
+100644 c230ced97dc4e6a54b6ba8fdbf929d68444903e3 0	HexBareiss/Bareiss.lean
+100644 78f9ee652b72523cfd0d6eb9e8715e11581ce8d4 0	HexBareiss/BorderedMinor.lean
+100644 0f54e50e7192f5005537fcab7e3d4ba2ba2045cb 0	HexBareiss/Kernel.lean
+100644 73fed11de8bd8a43208cbd6836f087714d568eae 0	HexBareiss/Polynomial.lean
+100644 25e2ef4207843776854211debddd6af069de698b 0	HexBasic/ArrayDecEq.lean
+100644 d248144c8f256834a51e427a3f37df1efd56ae94 0	HexBasic/ExactDiv.lean
+100644 11d2d37c19c04011947fa7dacf3fc04c8cd954a7 0	HexBasic/ExtTreeMap.lean
+100644 103d2a8178f881c04590c6da5fe84f441dd09cc7 0	HexBasic/Fold.lean
+100644 e495f2df26b2591ebadf97831bf3d1cc24dabf06 0	HexBasic/List.lean
+100644 43f10afab3b325a23687c3e634e21d3fd9f7bc25 0	HexBasic/ListShim.lean
+100644 baf5160104823c81e6c7d16ebecdc9e5ec929727 0	HexBasic/ModuleBoundaryTests.lean
+100644 72a79162cc362c9c3a4701652436694d6784bfaf 0	HexBasic/OfFn.lean
+100644 ae4a0ab74c3f7e4bdb6f05d56502803f5e037610 0	HexBasic/Rand.lean
+100644 349ad9397c8ee2d8d27ea967fafef3e4370b8497 0	HexBasic/Sort.lean
+100644 6ecb260329bf11be59dbd1a1c502532ab2102bea 0	HexBasic/Vector/Modify.lean
+100644 547f6745d95fffb31d4109afcac4c3a7fe540f4d 0	HexBerlekamp/BerlekampMatrix.lean
+100644 53123447e2f9886ee67f84e1902fc00c8833f5a4 0	HexBerlekamp/CertificateSyntax.lean
+100644 af1cec5bf48e7c0719a9f9ca386829bc2ebf14e5 0	HexBerlekamp/DegreePattern.lean
+100644 c17e430d7bd078519cfaea928e3a3f6f4e84e7c0 0	HexBerlekamp/DelayedKernel.lean
+100644 a1917611f7ad3aae6b52e152093c4ee6d8afb7ad 0	HexBerlekamp/DistinctDegree.lean
+100644 9df825e44201a7e606a268d5c04a0614abe21cd7 0	HexBerlekamp/Factor.lean
+100644 dd813f31f9277710e2bb3de58de2d1171717901a 0	HexBerlekamp/FactorPolyElab.lean
+100644 fee8fe75719af1879b3b599b11615bd70880ed78 0	HexBerlekamp/Factored.lean
+100644 2d4713f173f5e85877f48e3a47dc5ed9e5c452ab 0	HexBerlekamp/Irreducibility.lean
+100644 16e3e61a3fbe2da597b3d27e180078b9ba6dfc91 0	HexBerlekamp/IrreducibilityElab.lean
+100644 3f627634a70376e9165523ad12e6e0d457e5bea4 0	HexBerlekamp/IrreducibleDecide.lean
+100644 8d895f77f0c50a588416f9ff59f562b16d04e6b6 0	HexBerlekamp/LinearFactors.lean
+100644 291fbe1cbcb094c8abd1ca705ae6e44757f441d0 0	HexBerlekamp/PackedKernel.lean
+100644 2d501f2ff596cfd0ddeeaacf08bbe407a4dc8c18 0	HexBerlekamp/PolynomialTactic.lean
+100644 39aae3e6e08f60508d0b60d6a8006830e9c85897 0	HexBerlekamp/RabinSoundness.lean
+100644 b45a035862ad2b117089e3f8f88b9509378e3507 0	HexBerlekamp/RabinSoundness/KernelWitness.lean
+100644 3fd7f4d6b08fff50873c229e6d8838ee46c12a2f 0	HexBerlekamp/RabinSoundness/RabinCore.lean
+100644 37d6ddfedadd735e25c0d3b57beb9248b5cc1e6f 0	HexBerlekamp/RabinSoundness/RabinShape.lean
+100644 d2e39f3cfbddb53b80500209c5c70d719c2e0d54 0	HexBerlekampZassenhaus/All.lean
+100644 a2a9fa39987137973849a63a47bd9b79e765c427 0	HexBerlekampZassenhaus/BhksCandidates.lean
+100644 78585034031f7343c72bf3c4c566f7a11bf6f2ee 0	HexBerlekampZassenhaus/BhksRecover.lean
+100644 e2800da2586a8ed479985bd08743a7a83ee4d865 0	HexBerlekampZassenhaus/Certificate.lean
+100644 0221169d3d26d2a7e95dbd22fbeb4c85862071f0 0	HexBerlekampZassenhaus/CertificateSyntax.lean
+100644 eb5221b322415afbf1244fb7d41e9f0724e810d8 0	HexBerlekampZassenhaus/ChoosePrimeData.lean
+100644 e22e0a7374a22c8cc74859853196c184988a1ecc 0	HexBerlekampZassenhaus/Classical/Candidate.lean
+100644 7cbab5c0eb653c12e3fbb0fed43ad35036acae6b 0	HexBerlekampZassenhaus/Classical/CombinationIterator.lean
+100644 7af88f4cf8b5df99ae5810b39ee9ce75794b9ee7 0	HexBerlekampZassenhaus/Classical/Factorization.lean
+100644 2135fd4f9fe33dfc40dab57c664c537959d5b36f 0	HexBerlekampZassenhaus/Classical/Obstruction.lean
+100644 0c4cc16d368e9253adc62cfd0a7354e034bd82d3 0	HexBerlekampZassenhaus/Classical/Search.lean
+100644 425a59c285a4f8f11667ff5a294e513f7c8323f0 0	HexBerlekampZassenhaus/EisensteinCriterion.lean
+100644 8b96f1a198aee766296290734695f096216c3b16 0	HexBerlekampZassenhaus/FactorIrreducibility.lean
+100644 b1baa668a8f87d5546e4400905d7dbc8de94ecf2 0	HexBerlekampZassenhaus/FactorProduct.lean
+100644 fa093db4b7244a8c42005c479c9aa1ffcc40fa9f 0	HexBerlekampZassenhaus/FactorTactic.lean
+100644 cdc3738ba193c1eeab5704362b2cd258286c6f6e 0	HexBerlekampZassenhaus/Factored.lean
+100644 81e7e3db14de09e1be8a50c20d63b3bb802bf22c 0	HexBerlekampZassenhaus/Factorization.lean
+100644 8a49cfb38c203da541c78fe06a3695de01de5257 0	HexBerlekampZassenhaus/FactorizationData.lean
+100644 3236245e582c664151107600bc937857af667117 0	HexBerlekampZassenhaus/FactorizationResult.lean
+100644 eccd6d7e907c586e5a7c73545d1a39569a592342 0	HexBerlekampZassenhaus/Hensel/DirectLift.lean
+100644 467d63722080f9322cfdcd8f13a7fa01a5dd7ef1 0	HexBerlekampZassenhaus/IrreducibleDecide.lean
+100644 9c860caac0a1c797e43ac25c4a38e52355b16ca5 0	HexBerlekampZassenhaus/Lattice.lean
+100644 e6ce96fbf345d9a0de384a4b893977ae9d0d1e7b 0	HexBerlekampZassenhaus/Modular/PrimePlan.lean
+100644 fde38178743eab8ee03f015f030f09298905bb38 0	HexBerlekampZassenhaus/PrimeSelection.lean
+100644 7c036b868e9bae5bf625f3018bf96d3ce513f1ef 0	HexBerlekampZassenhaus/PrimitiveFactors.lean
+100644 307c46190adacbec9e02f03c5936103237d01dcb 0	HexBerlekampZassenhaus/QuadraticFactors.lean
+100644 1e390cb2985f73ee45c4892dac543dcebbb8f178 0	HexBerlekampZassenhaus/QuadraticNorm.lean
+100644 29150d05f8640ea66baca37cdf5e35d834825540 0	HexBerlekampZassenhaus/QuadraticNormRecover.lean
+100644 97a17fc8c98a42c89316ae39ff6f8ff4643db506 0	HexBerlekampZassenhaus/RatSquarefree.lean
+100644 f703a0f0aa1e1ed49b1fda04737213a26f0cebec 0	HexBerlekampZassenhaus/Recombination.lean
+100644 a90975264d7958b6187cee8a907f3f24181081d9 0	HexBerlekampZassenhaus/RecombinationFactors.lean
+100644 d23a69d76524d9bea275017f706b4fd0b514be25 0	HexBerlekampZassenhaus/SmallModSingleton.lean
+100644 f5d79f0b310559108ba4a876929a809da89808cb 0	HexBerlekampZassenhaus/SquareFreeInput.lean
+100644 32803f9efbbe23134965db1fdc38144c66d5c4b1 0	HexBerlekampZassenhaus/SquareFreeModularCert.lean
+100644 c887e0f8366ee05f6f5634149e6926ac0ec69dc2 0	HexBerlekampZassenhaus/TrialFactorization.lean
+100644 7d9faa20481ddacd7eac87974a5e3ff397892a58 0	HexBerlekampZassenhaus/WordCld.lean
+100644 a3cfae13a214203603d0e07bc146e662fbb74bb4 0	HexHensel/Linear.lean
+100644 5c38fe22f8eef067916567f53d3c6306c4c3b360 0	HexHensel/ModularDivision.lean
+100644 33f14c3f18316921e4d6bc80feb2a78cea906d58 0	HexHensel/ModularPolynomial.lean
+100644 ae823d182d80a91f907835f044fc0e4d7dede197 0	HexHensel/Multifactor.lean
+100644 6229243aea83e4956d9d929cefa779fde630c194 0	HexHensel/Quadratic.lean
+100644 5ec80407d198d9283d30f7541f37ff884aaec5ee 0	HexHensel/QuadraticMultifactor.lean
+100644 2483d223a08998b001256778c3f52e1ea9178a14 0	HexHensel/WordMul.lean
+100644 728bfaaf690d26d8f5d61cf7aecb4396309e1887 0	HexHensel/WordStep.lean
+100644 606adc0834a9c5cedbfec7fd336785842091b166 0	HexHensel/WordTransport.lean
+100644 0030ff8748a9cce918ab64ed0fe4127483b1d95e 0	HexLLL/Certificate.lean
+100644 ed2becd0baa622d6fba27ad76a34a9f07b61a4bc 0	HexLLL/Checker.lean
+100644 6dea5bdef4af6e9d12ef202be2ecac854a870df0 0	HexLLL/ExternalReducer.lean
+100644 ffb1a074548aa716ed198a51389bdc8677f787e8 0	HexLLL/ExternalReduction.lean
+100644 b1abcad3d8ddb9c8d19773acac08fdd297b1f69b 0	HexLLL/Interval.lean
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diff --git a/reports/bench-results/hexbz-factor-sweep-e3892faf-chungus2.json b/reports/bench-results/hexbz-factor-sweep-e3892faf-chungus2.json
new file mode 100644
index 0000000000..e1d9649654
--- /dev/null
+++ b/reports/bench-results/hexbz-factor-sweep-e3892faf-chungus2.json
@@ -0,0 +1,6043 @@
+{
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+    "arch": "x86_64",
+    "cpu_model": null,
+    "cpu_cores": 96,
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diff --git a/reports/bench-results/hexgraphiso-cactus-f8c9bd340878-chungus2.jsonl b/reports/bench-results/hexgraphiso-cactus-f8c9bd340878-chungus2.jsonl
new file mode 100644
index 0000000000..16415709a5
--- /dev/null
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diff --git a/reports/bench-results/hexgraphiso-cactus-f8c9bd340878-chungus2.meta.json b/reports/bench-results/hexgraphiso-cactus-f8c9bd340878-chungus2.meta.json
new file mode 100644
index 0000000000..89ab0bf145
--- /dev/null
+++ b/reports/bench-results/hexgraphiso-cactus-f8c9bd340878-chungus2.meta.json
@@ -0,0 +1,7 @@
+{
+ "fingerprint": "f8c9bd340878",
+ "host": "chungus2",
+ "date": "2026-09-15T04:37:50Z",
+ "describe": "e3892faf10ee",
+ "label": "Lean v4.34.0; CPU 7"
+}
diff --git a/reports/bench-results/hexgraphiso-cactus-f8c9bd340878.manifest b/reports/bench-results/hexgraphiso-cactus-f8c9bd340878.manifest
new file mode 100644
index 0000000000..daafdd2752
--- /dev/null
+++ b/reports/bench-results/hexgraphiso-cactus-f8c9bd340878.manifest
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diff --git a/reports/bench-results/hexgraphiso-pairs-f8c9bd340878-chungus2.jsonl b/reports/bench-results/hexgraphiso-pairs-f8c9bd340878-chungus2.jsonl
new file mode 100644
index 0000000000..e3e96b33fe
--- /dev/null
+++ b/reports/bench-results/hexgraphiso-pairs-f8c9bd340878-chungus2.jsonl
@@ -0,0 +1,34 @@
+{"family": "circulant-12", "name": "pos-circulant8", "n": 8, "iso": true, "fast_ns": 83964, "nauty_ns": 2323, "exprA": "Graph.singleColor (Families.circulant 8 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 8)).toLabel"}
+{"family": "circulant-12", "name": "pos-circulant12", "n": 12, "iso": true, "fast_ns": 132496, "nauty_ns": 3375, "exprA": "Graph.singleColor (Families.circulant 12 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 12)).toLabel"}
+{"family": "circulant-12", "name": "pos-circulant16", "n": 16, "iso": true, "fast_ns": 191564, "nauty_ns": 4396, "exprA": "Graph.singleColor (Families.circulant 16 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 16)).toLabel"}
+{"family": "circulant-12", "name": "pos-circulant20", "n": 20, "iso": true, "fast_ns": 262830, "nauty_ns": 5989, "exprA": "Graph.singleColor (Families.circulant 20 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 20)).toLabel"}
+{"family": "circulant-12", "name": "pos-circulant24", "n": 24, "iso": true, "fast_ns": 341135, "nauty_ns": 7992, "exprA": "Graph.singleColor (Families.circulant 24 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 24)).toLabel"}
+{"family": "circulant-12", "name": "pos-circulant32", "n": 32, "iso": true, "fast_ns": 530116, "nauty_ns": 11827, "exprA": "Graph.singleColor (Families.circulant 32 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 32)).toLabel"}
+{"family": "grid", "name": "pos-grid3x3", "n": 9, "iso": true, "fast_ns": 95662, "nauty_ns": 2514, "exprA": "Graph.singleColor (Families.grid 3 3)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 9)).toLabel"}
+{"family": "grid", "name": "pos-grid4x4", "n": 16, "iso": true, "fast_ns": 145205, "nauty_ns": 3365, "exprA": "Graph.singleColor (Families.grid 4 4)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 16)).toLabel"}
+{"family": "grid", "name": "pos-grid5x5", "n": 25, "iso": true, "fast_ns": 277011, "nauty_ns": 6459, "exprA": "Graph.singleColor (Families.grid 5 5)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 25)).toLabel"}
+{"family": "hypercube", "name": "pos-q3", "n": 8, "iso": true, "fast_ns": 112717, "nauty_ns": 2955, "exprA": "Graph.singleColor (Families.hypercube 3)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 8)).toLabel"}
+{"family": "hypercube", "name": "pos-q4", "n": 16, "iso": true, "fast_ns": 296860, "nauty_ns": 6850, "exprA": "Graph.singleColor (Families.hypercube 4)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 16)).toLabel"}
+{"family": "kneser", "name": "pos-kneser5-2", "n": 10, "iso": true, "fast_ns": 149391, "nauty_ns": 3304, "exprA": "Graph.singleColor (Families.kneser 5 2)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 10)).toLabel"}
+{"family": "cycles", "name": "neg-c6-vs-2c3", "n": 6, "iso": false, "fast_ns": 43805, "nauty_ns": 2373, "exprA": "Graph.singleColor (Families.cycle 6)", "exprB": "Graph.singleColor (Families.copies 2 (Families.cycle 3))"}
+{"family": "cycles", "name": "neg-c8-vs-2c4", "n": 8, "iso": false, "fast_ns": 54902, "nauty_ns": 2964, "exprA": "Graph.singleColor (Families.cycle 8)", "exprB": "Graph.singleColor (Families.copies 2 (Families.cycle 4))"}
+{"family": "cycles", "name": "neg-c10-vs-2c5", "n": 10, "iso": false, "fast_ns": 73859, "nauty_ns": 3755, "exprA": "Graph.singleColor (Families.cycle 10)", "exprB": "Graph.singleColor (Families.copies 2 (Families.cycle 5))"}
+{"family": "cycles", "name": "neg-c12-vs-2c6", "n": 12, "iso": false, "fast_ns": 89984, "nauty_ns": 4476, "exprA": "Graph.singleColor (Families.cycle 12)", "exprB": "Graph.singleColor (Families.copies 2 (Families.cycle 6))"}
+{"family": "cycles", "name": "neg-c14-vs-2c7", "n": 14, "iso": false, "fast_ns": 108501, "nauty_ns": 5468, "exprA": "Graph.singleColor (Families.cycle 14)", "exprB": "Graph.singleColor (Families.copies 2 (Families.cycle 7))"}
+{"family": "cycles", "name": "neg-c16-vs-2c8", "n": 16, "iso": false, "fast_ns": 125947, "nauty_ns": 6179, "exprA": "Graph.singleColor (Families.cycle 16)", "exprB": "Graph.singleColor (Families.copies 2 (Families.cycle 8))"}
+{"family": "named", "name": "neg-circulant10-2-5-vs-1-5", "n": 10, "iso": false, "fast_ns": 52278, "nauty_ns": 2804, "exprA": "Graph.singleColor (Families.circulant 10 [2, 5])", "exprB": "Graph.singleColor (Families.circulant 10 [1, 5])"}
+{"family": "named", "name": "neg-kneser72-vs-johnson72", "n": 21, "iso": false, "fast_ns": 304341, "nauty_ns": 12368, "exprA": "Graph.singleColor (Families.kneser 7 2)", "exprB": "Graph.singleColor (Families.johnson 7 2)"}
+{"family": "irregular", "name": "neg-grid3x4-vs-circulant12", "n": 12, "iso": false, "fast_ns": 58757, "nauty_ns": 2975, "exprA": "Graph.singleColor (Families.grid 3 4)", "exprB": "Graph.singleColor (Families.circulant 12 [1, 2])"}
+{"family": "irregular", "name": "neg-grid4x4-vs-q4", "n": 16, "iso": false, "fast_ns": 102833, "nauty_ns": 4657, "exprA": "Graph.singleColor (Families.grid 4 4)", "exprB": "Graph.singleColor (Families.hypercube 4)"}
+{"family": "irregular", "name": "neg-grid4x5-vs-k8-12", "n": 20, "iso": false, "fast_ns": 460362, "nauty_ns": 17937, "exprA": "Graph.singleColor (Families.grid 4 5)", "exprB": "Graph.singleColor (Families.completeBipartite 8 12)"}
+{"family": "irregular", "name": "neg-grid4x6-vs-2grid3x4", "n": 24, "iso": false, "fast_ns": 163683, "nauty_ns": 7080, "exprA": "Graph.singleColor (Families.grid 4 6)", "exprB": "Graph.singleColor (Families.copies 2 (Families.grid 3 4))"}
+{"family": "circulant-12", "name": "pos-circulant64", "n": 64, "iso": true, "fast_ns": 1842872, "nauty_ns": 39368, "exprA": "Graph.singleColor (Families.circulant 64 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 64)).toLabel"}
+{"family": "circulant-12", "name": "pos-circulant128", "n": 128, "iso": true, "fast_ns": 6965858, "nauty_ns": 178845, "exprA": "Graph.singleColor (Families.circulant 128 [1, 2])", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 128)).toLabel"}
+{"family": "hypercube", "name": "pos-q5", "n": 32, "iso": true, "fast_ns": 939173, "nauty_ns": 20060, "exprA": "Graph.singleColor (Families.hypercube 5)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 32)).toLabel"}
+{"family": "hypercube", "name": "pos-q6", "n": 64, "iso": true, "fast_ns": 3428604, "nauty_ns": 70424, "exprA": "Graph.singleColor (Families.hypercube 6)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 64)).toLabel"}
+{"family": "kneser", "name": "pos-kneser10-2", "n": 45, "iso": true, "fast_ns": 3032617, "nauty_ns": 65487, "exprA": "Graph.singleColor (Families.kneser 10 2)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 45)).toLabel"}
+{"family": "paley", "name": "pos-paley61", "n": 61, "iso": true, "fast_ns": 1885606, "nauty_ns": 34261, "exprA": "Graph.singleColor (Families.paley 61)", "exprB": "A.relabel ((Perm.ofVector? (Vector.ofFn fun i => i + 1)).getD (Perm.id 61)).toLabel"}
+{"family": "srg", "name": "neg-paley25-vs-latin5", "n": 25, "iso": false, "fast_ns": 794278, "nauty_ns": 30626, "exprA": "Graph.singleColor (Families.paley 25)", "exprB": "Graph.singleColor (Families.latinSquare 5)"}
+{"family": "cycles-dense", "name": "neg-circ48-vs-2circ24", "n": 48, "iso": false, "fast_ns": 638487, "nauty_ns": 31687, "exprA": "Graph.singleColor (Families.circulant 48 [1, 2])", "exprB": "Graph.singleColor (Families.copies 2 (Families.circulant 24 [1, 2]))"}
+{"family": "cycles-dense", "name": "neg-circ96-vs-2circ48", "n": 96, "iso": false, "fast_ns": 2230357, "nauty_ns": 138225, "exprA": "Graph.singleColor (Families.circulant 96 [1, 2])", "exprB": "Graph.singleColor (Families.copies 2 (Families.circulant 48 [1, 2]))"}
+{"family": "srg", "name": "neg-paley61-vs-circulant61", "n": 61, "iso": false, "fast_ns": 1011299, "nauty_ns": 40019, "exprA": "Graph.singleColor (Families.paley 61)", "exprB": "Graph.singleColor (Families.circulant 61 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])"}
diff --git a/reports/bench-results/hexgraphiso-pernode-f8c9bd340878-chungus2.md b/reports/bench-results/hexgraphiso-pernode-f8c9bd340878-chungus2.md
new file mode 100644
index 0000000000..d9959d1291
--- /dev/null
+++ b/reports/bench-results/hexgraphiso-pernode-f8c9bd340878-chungus2.md
@@ -0,0 +1,15 @@
+per-node cost fit from hexgraphiso-cactus-f8c9bd340878-chungus2.jsonl
+
+| family | sizes | n range | hex n^e | nauty n^e | diff | X (n ≤ 64) | X (n > 64) |
+|---|---|---|---|---|---|---|---|
+| circulant-12 | 17 | 8–255 | 1.74 | 1.76 | -0.02 | 23.42 | 20.91 |
+| circulant-1248 | 12 | 17–225 | 1.79 | 1.86 | -0.07 | 25.18 | 21.53 |
+| grid | 10 | 9–225 | 1.66 | 1.66 | 0.00 | 24.09 | 22.67 |
+| hypercube | 5 | 8–128 | 1.36 | 1.35 | 0.01 | 23.31 | 19.69 |
+| johnson | 10 | 10–231 | 0.99 | 1.15 | -0.16 | 24.14 | 17.36 |
+| kneser | 10 | 10–231 | 1.33 | 1.53 | -0.20 | 23.96 | 15.38 |
+| latin | 3 | 25–169 | 1.82 | 2.00 | -0.18 | 22.66 | 17.72 |
+| paley | 13 | 13–229 | 1.72 | 1.79 | -0.07 | 27.01 | 22.21 |
+| random | 18 | 10–255 | 1.88 | 1.97 | -0.09 | 34.52 | 27.09 |
+
+overall X (geometric mean): n ≤ 64: 26.11, n > 64: 20.82
diff --git a/reports/bench-results/hexgraphiso-tactic-f8c9bd340878-chungus2.json b/reports/bench-results/hexgraphiso-tactic-f8c9bd340878-chungus2.json
new file mode 100644
index 0000000000..a689af36c3
--- /dev/null
+++ b/reports/bench-results/hexgraphiso-tactic-f8c9bd340878-chungus2.json
@@ -0,0 +1,36 @@
+{
+ "pos-circulant8": 0.017760920000000003,
+ "pos-circulant12": 0.04607336000000001,
+ "pos-circulant16": 0.020358849999999998,
+ "pos-circulant20": 0.025866149999999997,
+ "pos-circulant24": 0.08461981,
+ "pos-circulant32": 0.08987271999999999,
+ "pos-grid3x3": 0.027843589999999998,
+ "pos-grid4x4": 0.04042982,
+ "pos-grid5x5": 0.04810060000000001,
+ "pos-q3": 0.016851170000000002,
+ "pos-q4": 0.038934750000000004,
+ "pos-kneser5-2": 0.021775900000000004,
+ "neg-c6-vs-2c3": 0.39777425000000005,
+ "neg-c8-vs-2c4": 0.49485352,
+ "neg-c10-vs-2c5": 0.5366341499999999,
+ "neg-c12-vs-2c6": 1.33170207,
+ "neg-c14-vs-2c7": 1.81226541,
+ "neg-c16-vs-2c8": 3.3840112,
+ "neg-circulant10-2-5-vs-1-5": 0.4016506,
+ "neg-kneser72-vs-johnson72": 4.54548911,
+ "neg-grid3x4-vs-circulant12": 0.51210526,
+ "neg-grid4x4-vs-q4": 0.72289175,
+ "neg-grid4x5-vs-k8-12": 0.71058458,
+ "neg-grid4x6-vs-2grid3x4": 6.80216901,
+ "pos-circulant64": 0.14453829,
+ "pos-circulant128": 0.026455020000000003,
+ "pos-q5": 0.05175,
+ "pos-q6": 0.09311300999999998,
+ "pos-kneser10-2": 0.14359724,
+ "pos-paley61": 0.030105759999999995,
+ "neg-paley25-vs-latin5": 4.2800639600000006,
+ "neg-circ48-vs-2circ24": null,
+ "neg-circ96-vs-2circ48": null,
+ "neg-paley61-vs-circulant61": 45.47088024
+}
\ No newline at end of file
diff --git a/reports/figures/hexbz-cactus-certificate-boundary.svg b/reports/figures/hexbz-cactus-certificate-boundary.svg
index 869ec03b6a..d54633985e 100644
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     <use xlink:href="#DejaVuSans-Oblique-50" transform="translate(3984.109375 0)"/>
     <use xlink:href="#DejaVuSans-Oblique-56" transform="translate(4081.515625 0)"/>
@@ -3360,33 +3323,55 @@ z
    <!-- tactic timeout: 120 s wall time per pair -->
    <g transform="translate(201.729766 356.4) scale(0.07 -0.07)">
     <defs>
-     <path id="DejaVuSans-Oblique-1d" d="M 978 3309 
-L 1638 3309 
-L 1484 2516 
-L 825 2516 
-L 978 3309 
-z
-M 488 794 
-L 1147 794 
-L 991 0 
-L 331 0 
-L 488 794 
-z
-" transform="scale(0.015625)"/>
-     <path id="DejaVuSans-Oblique-5a" d="M 544 3500 
-L 1113 3500 
-L 1259 684 
-L 2566 3500 
-L 3231 3500 
-L 3425 684 
-L 4666 3500 
-L 5241 3500 
-L 3641 0 
-L 2969 0 
-L 2797 2900 
-L 1459 0 
-L 781 0 
-L 544 3500 
+     <path id="DejaVuSans-Oblique-1d" d="M 978 3309
+L 1638 3309
+L 1484 2516
+L 825 2516
+L 978 3309
+z
+M 488 794
+L 1147 794
+L 991 0
+L 331 0
+L 488 794
+z
+" transform="scale(0.015625)"/>
+     <path id="DejaVuSans-Oblique-15" d="M 2950 2253
+L 934 525
+L 3163 525
+L 3053 0
+L 25 0
+L 128 531
+L 2234 2338
+Q 2656 2703 2832 2979
+Q 3009 3256 3009 3547
+Q 3009 3850 2796 4040
+Q 2584 4231 2241 4231
+Q 1944 4231 1581 4125
+Q 1219 4019 806 3816
+L 922 4441
+Q 1309 4594 1662 4672
+Q 2016 4750 2316 4750
+Q 2928 4750 3301 4425
+Q 3675 4100 3675 3572
+Q 3675 3216 3497 2892
+Q 3319 2569 2950 2253
+z
+" transform="scale(0.015625)"/>
+     <path id="DejaVuSans-Oblique-5a" d="M 544 3500
+L 1113 3500
+L 1259 684
+L 2566 3500
+L 3231 3500
+L 3425 684
+L 4666 3500
+L 5241 3500
+L 3641 0
+L 2969 0
+L 2797 2900
+L 1459 0
+L 781 0
+L 544 3500
 z
 " transform="scale(0.015625)"/>
     </defs>
@@ -3434,7 +3419,7 @@ z
   </g>
  </g>
  <defs>
-  <clipPath id="p9acd995b70">
+  <clipPath id="pb62e582026">
    <rect x="55.882344" y="26.16" width="473.317656" height="255.717656"/>
   </clipPath>
  </defs>
diff --git a/reports/figures/hexgraphiso-tactic-times.json b/reports/figures/hexgraphiso-tactic-times.json
index 748ebead99..a689af36c3 100644
--- a/reports/figures/hexgraphiso-tactic-times.json
+++ b/reports/figures/hexgraphiso-tactic-times.json
@@ -1,36 +1,36 @@
 {
- "pos-circulant8": 0.02202316,
- "pos-circulant12": 0.029379750000000007,
- "pos-circulant16": 0.02197957999999999,
- "pos-circulant20": 0.02565749,
- "pos-circulant24": 0.021296590000000004,
- "pos-circulant32": 0.022631420000000003,
- "pos-grid3x3": 0.020701390000000004,
- "pos-grid4x4": 0.028708699999999997,
- "pos-grid5x5": 0.027454190000000003,
- "pos-q3": 0.024847150000000002,
- "pos-q4": 0.024952389999999998,
- "pos-kneser5-2": 0.022790130000000002,
- "neg-c6-vs-2c3": 0.15629690000000002,
- "neg-c8-vs-2c4": 0.27117411,
- "neg-c10-vs-2c5": 0.92063605,
- "neg-c12-vs-2c6": 0.7407745299999999,
- "neg-c14-vs-2c7": 1.11065126,
- "neg-c16-vs-2c8": 2.1769824100000004,
- "neg-circulant10-2-5-vs-1-5": 0.56304461,
- "neg-kneser72-vs-johnson72": 3.20789835,
- "neg-grid3x4-vs-circulant12": 0.50481674,
- "neg-grid4x4-vs-q4": 0.86244304,
- "neg-grid4x5-vs-k8-12": 1.05066628,
- "neg-grid4x6-vs-2grid3x4": 6.150000369999999,
- "pos-circulant64": 0.027503060000000003,
- "pos-circulant128": 0.04059861,
- "pos-q5": 0.05916998,
- "pos-q6": 0.0284033,
- "pos-kneser10-2": 0.032111509999999996,
- "pos-paley61": 0.02676119,
- "neg-paley25-vs-latin5": 3.6272992499999996,
+ "pos-circulant8": 0.017760920000000003,
+ "pos-circulant12": 0.04607336000000001,
+ "pos-circulant16": 0.020358849999999998,
+ "pos-circulant20": 0.025866149999999997,
+ "pos-circulant24": 0.08461981,
+ "pos-circulant32": 0.08987271999999999,
+ "pos-grid3x3": 0.027843589999999998,
+ "pos-grid4x4": 0.04042982,
+ "pos-grid5x5": 0.04810060000000001,
+ "pos-q3": 0.016851170000000002,
+ "pos-q4": 0.038934750000000004,
+ "pos-kneser5-2": 0.021775900000000004,
+ "neg-c6-vs-2c3": 0.39777425000000005,
+ "neg-c8-vs-2c4": 0.49485352,
+ "neg-c10-vs-2c5": 0.5366341499999999,
+ "neg-c12-vs-2c6": 1.33170207,
+ "neg-c14-vs-2c7": 1.81226541,
+ "neg-c16-vs-2c8": 3.3840112,
+ "neg-circulant10-2-5-vs-1-5": 0.4016506,
+ "neg-kneser72-vs-johnson72": 4.54548911,
+ "neg-grid3x4-vs-circulant12": 0.51210526,
+ "neg-grid4x4-vs-q4": 0.72289175,
+ "neg-grid4x5-vs-k8-12": 0.71058458,
+ "neg-grid4x6-vs-2grid3x4": 6.80216901,
+ "pos-circulant64": 0.14453829,
+ "pos-circulant128": 0.026455020000000003,
+ "pos-q5": 0.05175,
+ "pos-q6": 0.09311300999999998,
+ "pos-kneser10-2": 0.14359724,
+ "pos-paley61": 0.030105759999999995,
+ "neg-paley25-vs-latin5": 4.2800639600000006,
  "neg-circ48-vs-2circ24": null,
  "neg-circ96-vs-2circ48": null,
- "neg-paley61-vs-circulant61": 76.74024672
+ "neg-paley61-vs-circulant61": 45.47088024
 }
\ No newline at end of file
diff --git a/scripts/check_sturm_sync.py b/scripts/check_sturm_sync.py
index 70480b9cee..b1ed5e2c73 100644
--- a/scripts/check_sturm_sync.py
+++ b/scripts/check_sturm_sync.py
@@ -21,10 +21,8 @@
 }
 
 
-# Mathlib master has moved the Sign modules since Hex's pinned Mathlib release.
 RENAMES = MODULES | {
     "HexRealRootsMathlib.Sign": "Mathlib.Topology.Instances.Sign.Connected",
-    "Mathlib.Data.Sign.Basic": "Mathlib.Basic.Sign.Basic",
 }