proof ch:05-real-analysis@proof-9

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:397

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proof : ch:05-real-analysis@proof-9prooftheorem 7.24: Extreme value theorem7.24axiom 7.1: Completeness of ℝ7.1proposition 7.22: Sequential characterization7.22theorem 7.7: Bolzano–Weierstrass7.7lemma A.221: Counting identityA.221lemma 6.19: Continuous argument along a path6.19theorem 7.40: Continuous functions are integrable7.40theorem 7.42: Fundamental theorem of calculus, I7.42theorem 7.34: Rolle7.34

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proves Extreme value theorem declared parts/02-mathematical-methods/05-real-analysis.tex:397