List of theorems

Abel–Ruffini theorem Abel's theorem Closed range theorem Closed graph theorem Anne's theorem Artin–Rees lemma Atiyah–Singer index theorem Auerbach's lemma Law of excluded middle Banach–Mazur theorem Bauer–Fike theorem Beckman–Quarles theorem Berry–Esseen theorem von-Neumann-Algebra Bing metrization theorem Polar set Subdirect product Blaschke selection theorem Wallace–Bolyai–Gerwien theorem Bonse's inequality Borel–Cantelli lemma Brahmagupta theorem Brauer–Suzuki theorem Brianchon's theorem Brooks' theorem Bruck–Ryser–Chowla theorem Cantor's theorem Carnot's theorem Cartan–Hadamard theorem Casey's theorem Cauchy's theorem (group theory) Cesàro mean Cauchy's integral theorem Mean value theorem#Mean value theorems for integration Cauchy–Kowalevski theorem Cayley's formula Cayley's theorem Cayley–Hamilton theorem Ceva's theorem Chen's theorem Clairaut's relation Cochran's theorem Cook–Levin theorem Craig-Interpolation Descartes' theorem Descartes' rule of signs Dilworth's theorem Dini's theorem Dinostratus' theorem Dirichlet's unit theorem Dirichlet's theorem on arithmetic progressions Doob–Dynkin lemma Doob decomposition theorem Easton's theorem Ehresmann's theorem Eilenberg–Zilber theorem Principal ideal domain Ergodic theory#Ergodic theorems Euler's theorem in geometry Eulerian path Fagin's theorem Fatou's lemma Fermat polygonal number theorem Riesz–Fischer theorem Frobenius theorem (differential topology) Frucht's theorem Fubini's theorem Fundamental theorem of algebra Fundamental theorem of calculus Integer factorization Gelfand–Mazur theorem Weak topology#The weak-.2A topology Gronwall's inequality De Gua's theorem Harnack's principle Hartogs' extension theorem Hartogs' theorem Hartogs number Pappus's hexagon theorem Levi-Civita connection Hausdorff maximal principle Heine–Cantor theorem Hall's marriage theorem Hellinger–Toeplitz theorem Helly's theorem Hilbert's basis theorem Hilbert's syzygy theorem Hilbert's Theorem 90 Fundamental theorem on homomorphisms Hopf theorem Hurwitz's theorem (complex analysis) Hurwitz's theorem (number theory) James' theorem Jordan curve theorem Jung's theorem Kantorovich theorem Stinespring factorization theorem Chain rule Kleene's recursion theorem Fréchet-Kolmogorov theorem Krein–Milman theorem Krull–Schmidt theorem Lagrange's theorem (group theory) Lions–Lax–Milgram theorem Lefschetz fixed-point theorem Leray's theorem Lester's theorem Lindenbaum's lemma Liouville's theorem (complex analysis) Liouville's formula Lochs' theorem Lumer–Phillips theorem Lusin's theorem Malgrange–Ehrenpreis theorem Szpilrajn extension theorem Marden's theorem Doob's martingale convergence theorems Maschke's theorem Algebraic K-theory#Matsumoto.27s theorem Max-Flow-Min-Cut-Theorem Menelaus' theorem Menger's theorem Mercer's theorem Mertens' theorems Minkowski inequality Minkowski's theorem Mitchell's embedding theorem Mean value theorem Mohr–Mascheroni theorem De Moivre's formula Morera's theorem Mostowski collapse lemma Nakayama lemma Nash embedding theorem Bargaining problem Nine lemma Newton's theorem (quadrilateral) Nielsen–Schreier theorem Noether normalization lemma Open mapping theorem (complex analysis) Orlicz–Pettis theorem Paley–Wiener theorem Peano existence theorem Peter–Weyl theorem Perron–Frobenius theorem Pick's theorem Pizza-Theorem Convergence of measures#Weak convergence of measures Product rule Radon's theorem Rasiowa–Sikorski lemma Reflection principle Residue theorem Riemann–Hurwitz formula Riemann mapping theorem Riemann series theorem Riemann–Lebesgue lemma Rolle's theorem Routh's theorem Russo–Dye theorem Ryll-Nardzewski fixed-point theorem Schanuel's lemma Schauder fixed point theorem Snake lemma Schoenflies problem Schur's lemma Schur's theorem Schur–Zassenhaus theorem Schwartz kernel theorem Symmetry of second derivatives Schwarz–Ahlfors–Pick theorem Skorokhod's representation theorem Slutsky's theorem Spectral theorem Steiner–Lehmus theorem Basis (linear algebra) Stewart's theorem Stolz–Cesàro theorem Tangential quadrilateral Knaster–Tarski theorem Tennenbaum's theorem Divisor function Thales' theorem Theorema egregium Thue–Siegel–Roth theorem Tietze extension theorem Trakhtenbrot's theorem Supporting hyperplane Tutte theorem Ugly-Duckling-Theorem Universal coefficient theorem Urysohn's lemma Van der Waerden's theorem Vantieghems theorem Varignon's theorem Lagrange's four-square theorem Four-vertex theorem Vieta's formulas Vizing's theorem Wedderburn's little theorem Whitehead's lemma Whitney embedding theorem Wilson's theorem Vinogradov's theorem Wolstenholme's theorem Tameness theorem Central limit theorem Zorn's lemma Lists of mathematicians
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