mathematical theorem

C716

concept

A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.

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All labels observed (115)

Label	Occurrences
mathematical theorem canonical	255
theorem	80
theorem in complex analysis	26
mathematical inequality	25
theorem in number theory	20
theorem in functional analysis	19
theorem in probability theory	15
theorem in algebraic geometry	14
theorem in analytic number theory	13
probability theorem	11
result in analytic number theory	10
result in algebraic geometry	8
result in mathematical logic	8
fixed-point theorem	7
mathematical lemma	7
theorem in algebraic topology	6
theorem in quantum mechanics	6
geometric theorem	5
theorem in harmonic analysis	5
theorem in measure theory	5
theorem in real analysis	5
index theorem	4
result in stochastic calculus	4
theorem in algebraic number theory	4
theorem in commutative algebra	4
theorem in computational complexity theory	4
theorem in differential topology	4
theorem in general relativity	4
theorem in graph theory	4
theorem in group theory	4
theorem in quantum field theory	4
theorem in topology	4
Markov process	3
approximation theorem	3
combinatorial theorem	3
duality theorem	3
statistical theorem	3
theorem in analysis	3
theorem in model theory	3
combinatorics theorem	2
convergence theorem	2
lemma	2
lemma in number theory	2
quantum mechanics theorem	2
result in abstract algebra	2
result in commutative algebra	2
result in elementary number theory	2
theorem in algebra	2
theorem in calculus	2
theorem in computability theory	2
theorem in control theory	2
theorem in differential geometry	2
theorem in linear algebra	2
theorem in mathematical logic	2
axiomatization of entropy	1
class of mathematical theorems	1
combinatorial lemma	1
enumeration theorem	1
equivalence theorem	1
existence theorem	1
family of theorems	1
formal proof	1
graph theory theorem	1
group theory theorem	1
interpolation theorem	1
lemma in measure theory	1
mathematical result	1
mean value theorem	1
metalogical theorem	1
metamathematical theorem	1
no-hair theorem	1
number theory result	1
result in linear regression theory	1
result in mathematics	1
result in stochastic analysis	1
set theory theorem	1
structure theorem	1
tensor equation	1
theorem about curvature	1
theorem in Hamiltonian dynamics	1
theorem in Riemannian geometry	1
theorem in analytic geometry	1
theorem in category theory	1
theorem in combinatorial geometry	1
theorem in combinatorics	1
theorem in consumer theory	1
theorem in convex geometry	1
theorem in decision theory	1
theorem in descriptive set theory	1
theorem in differential equations	1
theorem in economics	1
theorem in financial economics	1
theorem in game theory	1
theorem in homological algebra	1
theorem in information theory	1
theorem in mathematical analysis	1
theorem in mathematical economics	1
theorem in mechanics	1
theorem in numerical analysis	1
theorem in ordinary differential equations	1
theorem in parallel computing	1
theorem in physics	1
theorem in recursion theory	1
theorem in ring theory	1
theorem in set theory	1
theorem in sheaf theory	1
theorem in signal processing	1
theorem in statistics	1
theorem in stochastic calculus	1
theorem in symplectic geometry	1
theorem in topological group theory	1
theorem in vector calculus	1
theorem of calculus	1
theoretical physics result	1
topological theorem	1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction

generate a one-sentence description for a given conceptual class.
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Return only the sentence: "Description: [one-sentence description of the conceptional class]"

Input

Class: mathematical theorem

Generated description

A mathematical theorem is a rigorously proven statement derived from axioms and previously established results, expressing a fundamental truth within a formal mathematical system.

Instances (537)

Instance	Via concept surface
Lefschetz duality	—
Parseval's theorem	—
source coding theorem	theorem in information theory
noisy-channel coding theorem	theorem
Thom transversality theorem	—
Bernstein theorem	theorem
Nash embedding theorem	—
Eilenberg–Zilber theorem	—
Abel–Ruffini theorem	—
Heilbronn Halberstam surface form: Heilbronn–Halberstam theorem	theorem in analytic number theory
Halász theorem	theorem in analytic number theory
Erdős–Wintner theorem	—
Selberg–Delange method results	result in analytic number theory
Dirichlet approximation theorem	—
Hurwitz theorem	—
Khintchine theorem	—
Jarník–Besicovitch theorem	—
Roth theorem surface form: Roth's theorem	theorem in number theory
Baker theorem on linear forms in logarithms	—
Subspace theorem	theorem in number theory
Pólya’s theorem on random walks	theorem in probability theory
Birkhoff’s representation theorem for finite distributive lattices	—
Birkhoff–von Neumann theorem	—
Taylor–Proudman theorem	theorem
Mordell–Weil theorem	—
Cover’s theorem on the separability of patterns	theorem
Cover’s theorem	theorem
CPT theorem	theorem in quantum field theory
Hohenberg–Kohn theorem	theorem
Specker surface form: Kochen–Specker theorem	theorem
Kochen–Specker theorem	theorem in quantum mechanics
Arf surface form: Hasse–Arf theorem	—
Euler criterion	theorem in number theory
second supplementary law	theorem in number theory
cubic reciprocity law	theorem in number theory
quartic reciprocity law	theorem in number theory
Patrick Michael Grundy surface form: Sprague–Grundy theorem	—
Brillouin theorem	theorem
Hopf–Rinow theorem	theorem in Riemannian geometry
black hole no-hair theorem	theorem in general relativity
Lusin–Souslin theorem	—
Pontryagin maximum principle	—
Pontryagin duality	theorem in harmonic analysis
Lyapunov central limit theorem	probability theorem
Legendre’s formula for valuations of factorials	result in elementary number theory
LaSalle’s invariance principle	—
Oseledets theorem	—
Gronwall inequality	mathematical inequality
Euler pentagonal number theorem	—
Jacobi's theorem on determinants	—