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1. Mathematical Theorems (Wikipedia.org)
   "A theorem is a statement which can be proven true within some logical framework. Proving theorems is a central activity of mathematics." Provides 212 theorems.
   
   Includes Abel's theorem, Abel-Ruffini theorem, Almost flat manifold, Arrow's impossibility theorem, Artin-Wedderburn theorem, Atiyah-Singer index theorem, Baire category theorem, Banach fixed point theorem, Banach-Tarski paradox, Barbier's theorem, Bayes' theorem, Beatty's theorem, Beck's theorem, Bell's theorem, Berry-Esséen theorem, Bertrand's ballot theorem, Binomial theorem, Bishop-Gromov inequality, Bolyai-Gerwien theorem, Borsuk-Ulam theorem, Brouwer fixed point theorem, Bruck-Chowla-Ryser theorem, Cantor's theorem, Cantor-Bernstein-Schroeder theorem, Carmichael's theorem, Cartan's theorem, Catalan's conjecture, Cauchy integral theorem, Cauchy's integral formula, Cayley-Hamilton theorem, Central limit theorem, Ceva's theorem, Chebotarev's density theorem, Chinese remainder theorem, Church-Rosser theorem, Closed and exact differential forms, Closed graph theorem, Cluster decomposition theorem, Cochran's theorem, Compact space, Compactness theorem, Convolution theorem, Cramer's rule, De Branges' theorem, De Moivre's formula, De Rham cohomology, Desargues' theorem, Dirichlet's theorem on arithmetic progressions, Dirichlet's unit theorem, Divergence theorem, Division ring, Euler's formula, Euler's identity, Euler's theorem, Extreme value theorem, Faltings' theorem, Fermat's last theorem, Fermat's little theorem, Fixed point theorems in infinite-dimensional spaces, Four color theorem, Frobenius theorem, Fubini's theorem, Fuglede's theorem, Fundamental theorem, Fundamental theorem of Riemannian geometry, Fundamental theorem of algebra, Fundamental theorem of arithmetic, Fundamental theorem of calculus, Fundamental theorem of curves, Fundamental theorem of linear algebra, Fundamental theorem of vector analysis, Gauss-Bonnet theorem, Gauss-Markov theorem, Gel'fand-Naimark theorem, Gelfond-Schneider theorem, Gibbard-Satterthwaite theorem, Girsanov's theorem, Goodstein's theorem, Gradient conjecture, Green's theorem, Gromov's compactness theorem, Gromov's theorem on groups of polynomial growth, Gödel's completeness theorem, Gödel's incompleteness theorem, Haag's theorem, Hahn embedding theorem, Hahn-Banach theorem, Hahn-Jordan decomposition, Hairy ball theorem, Hales-Jewett theorem, Hausdorff paradox, Heine-Borel theorem, Herbrand-Ribet theorem, Heron's formula, Hilbert's basis theorem, Intermediate value theorem, Invariance of domain, Isomorphism theorem, Jordan curve theorem, Kirszbraun theorem, Knaster-Tarski theorem, Kolmogorov's zero-one law, Kronecker's theorem, Kronecker-Weber theorem, Krull's principal ideal theorem, Lagrange inversion theorem, Lagrange reversion theorem, Lagrange's four-square theorem, Lagrange's theorem, Lebesgue's number lemma, Lefschetz fixed-point theorem, Lie-Kolchin theorem, Lindemann-Weierstrass theorem, Linear congruence theorem, Linnik's theorem, Liouville's theorem (complex analysis), List of lemmas, List of mathematical theorems, List of theorems, Löwenheim-Skolem theorem, Mahler's compactness theorem, Mahler's theorem, Marcinkiewitz theorem, Marriage theorem, Matiyasevich's theorem, Maximum power theorem, Mazur's torsion theorem, Mean value theorem, Mertens' theorems, Metrization theorems, Minkowski's theorem, Mordell-Weil theorem, Morera's theorem, Morley's categoricity theorem, Morley's theorem, Morley's trisector theorem, Mumford conjecture, Myers theorem, Myhill-Nerode theorem, Nagell-Lutz theorem, Nash embedding theorem, No cloning theorem, Noether's theorem, Nyquist-Shannon sampling theorem, Open mapping theorem, Paley-Wiener theorem, Pascal's theorem, Pentagonal number theorem, Perfect graph, Peter-Weyl theorem, Picard theorem, Picard-Lindelöf theorem, Pick's theorem, Pontryagin duality, Post's theorem, Poynting theorem, Prime number theorem, Primitive element (field theory), Proof that e is irrational, Proof that holomorphic functions are analytic, Proof that the sum of the reciprocals of the primes diverges, Pythagorean theorem, Quillen-Suslin theorem, Ramsey's theorem, Rao-Blackwell theorem, Reeh-Schlieder theorem, Residue theorem, Rice's theorem, Riemann mapping theorem, Riemann-Roch theorem, Riesz representation theorem, Rolle's theorem, Schreier refinement theorem, Seifert-van Kampen theorem, Shannon-Hartley theorem, Simplicial approximation theorem, Soul theorem, Spectral theorem, Sperner's lemma, Splitting theorem, Star height problem, Stark-Heegner, Stokes' theorem, Stolper-Samuelson theorem, Stone duality, Stone's representation theorem for Boolean algebras, Stone-Weierstrass theorem, Stone-von Neumann theorem, Sylvester-Gallai theorem, Szemerédi's theorem, Szemerédi-Trotter theorem, Taniyama-Shimura theorem, Taylor's theorem, Thales' theorem, Theorem Thue-Siegel-Roth theorem, Tietze extension theorem, Time hierarchy theorem, Turán's theorem, Tychonoff's theorem, Uniform boundedness principle, Uniformization theorem, Urysohn's Lemma, Van der Waerden's Theorem, Vitali-Hahn-Saks theorem, Von Neumann bicommutant theorem, Von Staudt-Clausen theorem, Weierstrass-Casorati theorem, Weil conjectures, Whitehead theorem, Whitney embedding theorem, Wilson's theorem 10-04