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Disprove that quotients of bounded functions stay bounded - #669

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Chessing234 wants to merge 3 commits into
teorth:mainfrom
Chessing234:fix/bddon-div-isfalse
Closed

Disprove that quotients of bounded functions stay bounded#669
Chessing234 wants to merge 3 commits into
teorth:mainfrom
Chessing234:fix/bddon-div-isfalse

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@Chessing234

@Chessing234 Chessing234 commented Aug 29, 2026

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Summary

  • BddOn.div is false: on (0,1), constant 1 and identity are bounded with non-zero denominator, but 1/x is unbounded.

Test plan

  • CI / lake build Analysis/Section_9_6.lean

@teorth

teorth commented Sep 5, 2026

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Closing this one under the repository's solutions policy — see the consolidated note on #667 for the full explanation and for what would be most welcome instead.

Briefly: this PR discharges sorrys that are reader exercises in Analysis I, and removes the accompanying hint comment ("the first line of this construction should be either apply isTrue or apply isFalse"). From the README:

Portions of the text that were left as exercises to the reader are rendered in this translation as sorrys. Readers are welcome to fork the repository here to try their hand at these exercises, but I do not intend to place solutions in this repository directly.

Nothing wrong with the mathematics here — this is purely about what belongs in the main repository.

@teorth teorth closed this Sep 5, 2026
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2 participants