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Uniqueness Theorem

Statement form sorts theorems by the shape of the claim they make, such as an equation, an inequality or an existence statement. Wikipedia states Fermat's Last Theorem as the claim "that there are no positive integers a, b, c, n with n greater than 2 such that a to the n plus b to the n equals c to the n," a negative existence claim rather than a formula to compute with. This dimension groups theorems that make the same kind of mathematical statement.

Uniqueness Theorem

44 entries

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Topic Area

Proved

Proved By

Named After

Alexandrov's Theorem on Polyhedra

Artin-Schreier Theorem

Artin-Wedderburn Theorem

Banach Fixed-Point Theorem

Beth Definability Theorem

Bohr-Mollerup Theorem

Cauchy-Kovalevskaya Theorem

Cauchy's Rigidity Theorem (Convex Polyhedra)

Chinese Remainder Theorem

Conservativity Theorem

Cramer's Rule

Cramer-Wold Theorem

Denjoy-Wolff Theorem

Dimension Theorem for Vector Spaces

Dirichlet's Approximation Theorem

Doob Decomposition Theorem

Electromagnetism Uniqueness Theorem

Euclidean Division

Fraisse's Theorem

Fredholm Alternative

Friendship Theorem

Fundamental Theorem of Arithmetic

Jordan-Holder Theorem

Kaplansky's Theorem on Quadratic Forms

Kolmogorov's Zero-One Law

Krull's Principal Ideal Theorem

Krull-Schmidt Theorem

Lax-Milgram Theorem

Lehmann-Scheffe Theorem

Linton's Theorem (Equational Theory)

Loewenheim-Skolem Theorem

May's Theorem

Multiplicity-One Theorem

Nash's Bargaining Theorem

Perron-Frobenius Theorem

Picard Theorem

Picard-Lindelof Theorem

Riesz Representation Theorem

Rubinstein Bargaining Model

Schwarz Lemma

Shephard's Lemma

Transfinite Recursion Theorem

Vizing's Theorem

Zeckendorf's Theorem