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Section 9.9: fix .Icc 0 2 -> .Ioo 0 2 in opening 1/x examples#500

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May 18, 2026
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Section 9.9: fix .Icc 0 2 -> .Ioo 0 2 in opening 1/x examples#500
teorth merged 1 commit into
teorth:mainfrom
rkirov:upstream/icc-to-ioo-9-9

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@rkirov rkirov commented May 9, 2026

The two opening examples about 1/x use .Icc 0 2 (closed interval including 0). With Mathlib's junk-valued 1/0 = 0, the continuity claim at 0 is actually false (the limit from the right is +∞ while the value is 0), and the unboundedness claim reads oddly. The intended Tao statements are on the open interval .Ioo 0 2.

The two opening examples about `1/x` use `.Icc 0 2` (closed interval
including 0). With Mathlib's junk-valued `1/0 = 0`, the continuity claim
at `0` is actually false (the limit from the right is `+∞` while the
value is `0`), and the unboundedness claim reads oddly. The intended
Tao statements are on the open interval `.Ioo 0 2`.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
@teorth teorth merged commit ddfc49e into teorth:main May 18, 2026
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