mathematical theorem

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

Observed surface forms (49)

• theorem ×6
• fixed-point theorem ×3
• mathematical inequality ×3
• statistical theorem ×3
• Markov process ×2
• probability theorem ×2
• result in algebraic geometry ×2
• result in commutative algebra ×2
• result in mathematical logic ×2
• result in stochastic calculus ×2

• theorem in algebraic geometry ×2
• theorem in commutative algebra ×2
• theorem in differential geometry ×2
• theorem in differential topology ×2
• theorem in functional analysis ×2
• theorem in general relativity ×2
• theorem in probability theory ×2
• theorem in quantum field theory ×2
• theorem in quantum mechanics ×2
• axiomatization of entropy ×1
• combinatorial lemma ×1
• family of theorems ×1
• index theorem ×1
• lemma ×1
• lemma in number theory ×1
• metamathematical theorem ×1
• no-hair theorem ×1
• number theory result ×1
• quantum mechanics theorem ×1
• result in abstract algebra ×1
• result in analytic number theory ×1
• result in elementary number theory ×1
• result in linear regression theory ×1
• result in mathematics ×1
• result in stochastic analysis ×1
• tensor equation ×1
• theorem about curvature ×1
• theorem in algebra ×1
• theorem in analysis ×1
• theorem in calculus ×1
• theorem in complex analysis ×1
• theorem in computational complexity theory ×1
• theorem in differential equations ×1
• theorem in number theory ×1
• theorem in numerical analysis ×1
• theorem in physics ×1
• theorem in stochastic calculus ×1
• theoretical physics result ×1
• topological theorem ×1

Instances (64)

• Gödel's incompleteness theorems
• PCP theorem via concept surface "theorem in computational complexity theory"
• Cantor’s theorem
• Tucker’s lemma via concept surface "combinatorial lemma"
• Atiyah–Singer index theorem
• Hölder inequality via concept surface "mathematical inequality"
• Jensen inequality via concept surface "mathematical inequality"
  surface form: Jensen's inequality
• Lax equivalence theorem
• Longuet-Higgins theorem in molecular symmetry via concept surface "theorem"
• Girsanov theorem via concept surface "theorem"
• Ramanujan partition congruences via concept surface "number theory result"
• Whitney embedding theorem
• Wigner–Eckart theorem via concept surface "theorem in quantum mechanics"
• Wigner’s theorem on symmetry transformations via concept surface "theorem in quantum mechanics"