Section 9.8: fix undecidable Exercise 9.8.4 statements from issue #517#526
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Section 9.8: fix undecidable Exercise 9.8.4 statements from issue #517#526Chessing234 wants to merge 2 commits into
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To be closer to the spirit of the exercise, one can move the quantification over the parameters a, b, f, hcont, hmono inside the Decidable statement instead. |
Replace Decidable defs with theorems under continuity and strict monotonicity so the exercise matches Tao's intended inverse statement. Co-authored-by: Cursor <cursoragent@cursor.com>
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Per review feedback — keep the Decidable exercise form but decide the universal claim (∀ a b f …, inverse exists) rather than a single instance. Co-authored-by: Cursor <cursoragent@cursor.com>
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Good call — pushed an update that keeps the |
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Summary
def … : Decidable …exercises with provabletheoremstatements.Root cause
Issue #517: as
Decidableexercises, the property is true for some admissible functions and false for others, so no uniform decision proof can exist. Adding the hypotheses from Tao’s intended setting makes the statements matchMonotoneOn.exist_inverse.Test plan
lake build(signature-only change)