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chore(Algebra/Group/Pointwise/Set/SelfInv): put into lemmas into Set namespace #43792

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chore(Algebra/Group/Pointwise/Set/SelfInv): put into lemmas into Set namespace #43792

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8548cdc
put into Set namespace
justus-springer Sep 14, 2026
fb393d8
remove newline
justus-springer Sep 14, 2026
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9 changes: 8 additions & 1 deletion Mathlib/Algebra/Group/Pointwise/Set/SelfInv.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -17,6 +17,11 @@ This file specialises `IsSelfInv` to sets equipped with the pointwise inversion.

public section

/- Ensure that `@[to_additive]` uses the right namespace. -/
insert_to_additive_translation Set.IsSelfInv Set.IsSelfNeg

namespace Set

open Set
open scoped Pointwise

Expand Down Expand Up @@ -66,7 +71,7 @@ protected lemma IsSelfInv.sInter {S : Set (Set α)} (h : ∀ s ∈ S, IsSelfInv
IsSelfInv (⋂₀ S) :=
sInter_eq_iInter ▸ .iInter fun s ↦ h s s.2

@[to_additive]
@[to_additive Set.IsSelfNeg.prod]
protected lemma IsSelfInv.prod {t : Set β} (hs : IsSelfInv s) (ht : IsSelfInv t) :
IsSelfInv (s ×ˢ t) := by
rw [isSelfInv_iff, inv_prod, hs, ht]
Expand Down Expand Up @@ -116,3 +121,5 @@ protected lemma IsSelfInv.diff (hs : IsSelfInv s) (ht : IsSelfInv t) : IsSelfInv
simpa only [sdiff_eq] using hs.inter ht.compl

end InvolutiveInv

end Set
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