# List of mathematical theorems

Wikipedia contains articles on a number of mathematical theorems. See also list of theorems.

- Abelian and tauberian theorems
- Abel-Ruffini theorem
- Abel's theorem
- Ankeny-Artin-Chowla theorem
- Arrow's impossibility theorem
- Artin-Wedderburn theorem
- Arzelŕ-Ascoli theorem
- Atiyah-Singer index theorem
- Baire category theorem
- Banach-Alaoglu theorem
- Banach fixed point theorem
- Barbier's theorem
- Bayes' theorem
- Beatty's theorem
- Bell's theorem
- Berry-Esséen theorem
- Bézout's theorem
- Binomial theorem
- Bolyai-Gerwien theorem
- Bolzano-Weierstrass theorem
- Boolean prime ideal theorem
- Borsuk-Ulam Theorem
- Brouwer fixed-point theorem
- Bruck-Chowla-Ryser theorem
- Buckingham Pi theorem
- Cantor's theorem
- Cantor-Bernstein-Schroeder theorem
- Cauchy integral theorem
- Cayley-Hamilton theorem
- Cayley's Theorem
- Central limit theorem
- Ceva's Theorem
- Chebotarev's density theorem
- Chinese remainder theorem
- Chowla-Mordell theorem
- Church-Rosser theorem
- Closed graph theorem
- Compactness theorem
- Convolution theorem
- Cox's theorem
- Dandelin's theorem — see Dandelin spheres.
- De Finetti's theorem
- Desargues' theorem
- Descartes' theorem
- See defect (geometry) for another theorem of Descartes.

- Dirichlet's theorem
- Dirichlet's unit theorem
- Divergence theorem
- Dominated convergence theorem
- Earnshaw's theorem
- Erdös-Ko-Rado theorem
- Euler's theorem
- Existence theorem
- Fermat's last theorem
- Fermat's little theorem
- Fermat's theorem
- Fluctuation theorem
- Four color theorem
- Fourier inversion theorem
- Fubini's theorem
- Gauss-Bonnet theorem
- Gauss-Markov theorem
- Gauss-Wantzel theorem
- Gelfand-Naimark theorem
- Gibbard-Satterthwaite theorem
- Girsanov's theorem
- Gödel's completeness theorem
- Gödel's incompleteness theorem
- Gödel's second incompleteness theorem
- Goodstein's theorem
- Green's theorem
- Grothendieck-Riemann-Roch theorem
- Hahn-Banach theorem
- Hairy ball theorem
- Hausdorff maximality theorem
- Heine-Borel theorem
- Hellinger-Toeplitz theorem
- Hilbert's basis theorem
- Infinite monkey theorem
- Intermediate value theorem
- Inverse function theorem
- Isomorphism theorem
- Jacobson density theorem
- Jordan curve theorem
- Kirszbraun theorem
- Kleene's recursion theorem
- Knaster-Tarski theorem
- Kolmogorov-Arnold-Moser theorem
- König's theorem
- Krull's principal ideal theorem
- Lagrange's four-square theorem
- Lagrange inversion theorem
- Lagrange's theorem
- Lasker-Noether theorem
- Laurent expansion theorem
- Lehmann-Scheffé theorem
- Lindemann-Weierstrass theorem
- Linear congruence theorem
- Linnik's theorem
- Liouville's theorem
- Löwenheim-Skolem theorem
- Lyapunov's central limit theorem
- Mahler's theorem
- Marriage theorem
- Matiyasevich's theorem
- Max flow min cut theorem
- Maximum power theorem
- Maxwell's theorem
- Mean value theorem
- Mercer's theorem
- Metrization theorems
- Minimax theorem
- Minkowski's theorem
- Mitchell's embedding theorem
- Mohr-Mascheroni theorem
- Monotone convergence theorem
- Morera's theorem
- Myhill-Nerode Theorem
- Nash embedding theorem
- No-cloning theorem
- Noether's theorem
- Nyqvist-Shannon sampling theorem
- Open mapping theorem
- Pentagonal number theorem
- Peter-Weyl theorem
- Pick's theorem (plane geometry)
- Pick's theorem - PID controller
- Pitman-Koopman-Darmois theorem
- Plancherel theorem
- Poncelet-Steiner theorem
- Prime number theorem
- Pythagorean theorem
- Radon-Nikodym theorem
- Ramsey's theorem
- Rank-nullity theorem
- Rao-Blackwell theorem
- Rational root theorem
- Residue theorem
- Rice's theorem
- Riemann mapping theorem
- Riemann-Roch theorem
- Riesz representation theorem
- Robertson-Seymour theorem
- Rolle's theorem
- Sarkovskii's theorem
- Seifert-van Kampen theorem
- Simple theorems in the algebra of sets
- Simplicial approximation theorem
- Skolem-Noether theorem
- Soundness theorem
- Spectral theorem
- Sprague-Grundy theorem
- Squeeze theorem
- Stark-Heegner theorem
- Stokes' theorem
- Stone's representation theorem for Boolean algebras
- Stone-Weierstrass theorem
- Swan's theorem
- Sylow theorem
- Szeméredi's theorem
- Taniyama-Shimura theorem
- Taylor's theorem
- Tchebysheff's theorem
- Thales' theorem
- Theorem of Bolzano-Weierstrass
- Theorem of Heine-Borel
- Theorem of Lagrange
- Theorema Egregium
- Tietze extension theorem
- Time hierarchy theorem
- Turán's theorem
- Tychonoff's theorem
- Uniformization theorem
- Van der Waerden's theorem
- Virial theorem
- Von Neumann bicommutant theorem
- Weierstrass approximation theorem
- Weierstrass-Casorati theorem
- Weierstrass preparation theorem
- Well-ordering theorem
- Whitney embedding theorem
- Wilson's theorem