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All Theorems

Proved mathematical results, statements with an accepted proof within the mathematical community. Belongs here: theorems, grouped below by the branch of mathematics the result belongs to. Does not belong here: unproved claims, filed as conjectures, even ones widely believed true.

All Theorems

907 entries

Branch

Topic Area

Proved

Proved By

Named After

Statement Form

False Confidence Theorem

Faltings's Theorem

Fary's Theorem

Fatou's Lemma

Feit-Thompson Theorem

Fejer's Theorem

Fermat's Last Theorem

Fermat's Little Theorem

Fermat's Polygonal Number Theorem

Fermat's Theorem on Sums of Two Squares

Ferrero-Washington Theorem

Feuerbach's Theorem

Feynman-Kac Formula

Finsler-Hadwiger Theorem

Fisher Separation Theorem

Fisher-Neyman Factorization Theorem

Fisher's Fundamental Theorem of Natural Selection

Fisher's Inequality

Fisher-Tippett-Gnedenko Theorem

Five Circles Theorem

Five Color Theorem

Fluctuation-Dissipation Theorem

Fodor's Lemma

Folk Theorem (Game Theory)

Four Color Theorem

Fraisse's Theorem

Frankova-Helly Selection Theorem

Fredholm Alternative

Free Will Theorem

Freedman's Theorem

Frege's Theorem

Freiman's Theorem

Freudenthal Suspension Theorem

Friedberg-Muchnik Theorem

Friedlander-Iwaniec Theorem

Friendship Theorem

Frisch-Waugh-Lovell Theorem

Frobenius Reciprocity Theorem

Frobenius Theorem on Division Algebras

Fubini's Theorem

Fubini's Theorem on Differentiation

Fueter-Polya Theorem

Fundamental Theorem of Algebra

Fundamental Theorem of Arithmetic

Fundamental Theorem of Calculus

Fundamental Theorem of Equivalence Relations

Fundamental Theorem of Galois Theory

Fundamental Theorem of Topos Theory

Fundamental Theorems of Welfare Economics

Furstenberg's Proof of the Infinitude of Primes

Gabbay's Separation Theorem

Gale-Shapley Theorem

Gamas's Theorem

Garfield's Proof of the Pythagorean Theorem

Gauss Congruence

Gauss-Bonnet Theorem

Gauss-Lucas Theorem

Gauss-Markov Theorem

Gauss's Lemma (Polynomials)

Gauss's Theorema Egregium

Gelfond-Schneider Theorem

Gentzen's Consistency Proof

Geometric Mean Theorem

Gershgorin Circle Theorem

Gibbard's Theorem

Gibbard-Satterthwaite Theorem

Girsanov's Theorem

Glaisher's Theorem

Gleason's Theorem

Glivenko-Cantelli Theorem

Godel's Completeness Theorem

Godel's Incompleteness Theorems

Going-Up and Going-Down Theorems

Goldstone's Theorem

Gomory's Theorem

Goodstein's Theorem

Goursat's Theorem

Gradient Theorem

Graph Structure Theorem

Green's Theorem