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   Mathematical Proofs

   Types of Proofs

   Direct, Proof by contradiction, Induction, Construction, Proof by exhaustion, Nonconstructive, Statistical, Combinatorial, Geometric

   Elements

   Lemma, Theorem, Corollary, Axiom, Conjecture, Proposition

   Techniques

   Reductio ad absurdum, Induction, Method of infinite descent, Proof by exhaustion, Proof by enumeration, Double counting, Pigeonhole principle, Diagonal argument, Crossing number

   Notable Proofs

   Pythagoras', Fermat's Last Theorem, Four color theorem, Zermelo–Fraenkel set theory, Cantor's diagonal argument, Poincaré conjecture, Riemann's Hypothesis (proposed proofs), Proof of the Poincaré conjecture

   Related Topics

   Mathematical logic, Formal proof, Proof theory, Model theory, Computability theory, Set theory, Proof assistant

 This mathematical proof related article is a stub.

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