proof ch:05-real-analysis@proof-56

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:2476

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proof : ch:05-real-analysis@proof-56proofproposition 7.85: Irrationality of π7.85lemma 7.86: Terminating or repeating decimals are rational7.86lemma 7.71: Derivatives; the Pythagorean identity7.71proposition 7.77: Special values, periodicity, and the kernel7.77proposition 7.48: Ratio test7.48theorem 7.8: Cauchy criterion7.8theorem 7.43: Fundamental theorem of calculus, II7.43remark 7.94: Three numbers, two kinds7.94remark 7.87: Priority, and what irrationality does not give7.87

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proves Irrationality of $\pi$ declared parts/02-mathematical-methods/05-real-analysis.tex:2476