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Proof a Set Containing a Connected Set and Contained in it's Closure is Connected
Proof of Baire's Category Theorem
Proof of Cantor's Theorem
Proof of Closed Sets Property for Homeomorphisms
Proof of Condition for a Topological Space to be Normal
Proof of Converse of Urysohn's Lemma
Proof of Equivalence of Continuity of Mapping of an Element of an Open Set to an Element of an Open Set
Proof of Euler's Equation
Proof of Existence of Lebesgue Number for Open Cover of a Compact Metric Space
Proof of Fixed Point Theorem for a Continuous Function From [0,1] to [0,1]

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