proof ch:04-topology@proof-2

open in the book · parts/02-mathematical-methods/04-topology.tex:139

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proof : ch:04-topology@proof-2prooftheorem 6.11: Heine–Borel on ℝ6.11axiom 7.1: Completeness of ℝ7.1definition 6.9: Compact set6.9lemma A.365: Lebesgue numberA.365lemma A.136: Differentiation under the integral signA.136proposition 6.23: The punctured plane is not simply connected6.23theorem 10.75: Weak maximum principle10.75

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proves Heine–Borel on $\R$ declared parts/02-mathematical-methods/04-topology.tex:139