Disprove Exercise 9.8.4 variants that drop continuity or strict mono - #667
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Disprove Exercise 9.8.4 variants that drop continuity or strict mono#667Chessing234 wants to merge 3 commits into
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Both Decidable claims are false: a jump shows strict mono alone does not fill the interval, and a constant shows continuous monotone alone has no left inverse.
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Summary
MonotoneOn.exist_inverse_without_continuityandexist_inverse_without_strictmonoare false statements viaisFalse.[0,2]is strictly mono but does not fill[f 0, f 2].Test plan
Analysis/Section_9_8.lean