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.
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. # Response Format 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.