Metamath set.mm

GPTKB entity

Statements (108)
Predicate Object
gptkbp:instanceOf formalized mathematics database
gptkbp:availableOn http://us.metamath.org/downloads.html
gptkbp:basedOn gptkb:ZFC_set_theory
gptkbp:contains gptkb:mathematics
mathematical proofs
axioms
gptkbp:fileExtension .mm
gptkbp:firstReleased 1995
gptkbp:focusesOn gptkb:set_theory
gptkbp:hasProofsOf gptkb:Baire_category_theorem
gptkb:Borel–Cantelli_lemma
gptkb:Chebyshev's_inequality
gptkb:De_Moivre's_formula
gptkb:Fermat's_little_theorem
gptkb:Mean_value_theorem
gptkb:Quadratic_reciprocity
gptkb:Sylow_theorems
gptkb:Urysohn's_lemma
gptkb:Gauss's_theorem
gptkb:Lebesgue's_dominated_convergence_theorem
gptkb:Tonelli's_theorem
gptkb:Wilson's_theorem
gptkb:Banach–Tarski_paradox
gptkb:Cauchy-Schwarz_inequality
gptkb:Hahn–Banach_theorem
gptkb:Hilbert's_basis_theorem
gptkb:Noether's_theorem
gptkb:Ramsey's_theorem
gptkb:Stokes'_theorem
gptkb:Möbius_inversion_formula
gptkb:Four_color_theorem
gptkb:Chebotarev_density_theorem
gptkb:Dirichlet's_theorem
gptkb:Euler's_formula
gptkb:Euler's_theorem
gptkb:Lagrange's_theorem
gptkb:Brouwer_fixed-point_theorem
gptkb:Cantor's_theorem
gptkb:Chinese_remainder_theorem
gptkb:Erdős–Szekeres_theorem
gptkb:Galois_theory
gptkb:Jordan_curve_theorem
gptkb:Poincaré_lemma
gptkb:Pythagorean_theorem
gptkb:Carathéodory's_extension_theorem
gptkb:Fatou's_lemma
gptkb:Fubini's_theorem
gptkb:Monotone_convergence_theorem
gptkb:Riesz_representation_theorem
gptkb:Fundamental_theorem_of_algebra
gptkb:Kolmogorov's_zero–one_law
gptkb:Riemann_mapping_theorem
gptkb:Bayes'_theorem
gptkb:Gödel's_incompleteness_theorem
gptkb:Markov's_inequality
gptkb:Holder's_inequality
gptkb:Jensen's_inequality
gptkb:Cauchy's_integral_theorem
gptkb:Intermediate_value_theorem
gptkb:Minkowski's_inequality
gptkb:Fundamental_theorem_of_calculus
gptkb:Green's_theorem
gptkb:Stone–Weierstrass_theorem
gptkb:Tychonoff's_theorem
gptkb:Radon–Nikodym_theorem
gptkb:Zorn's_lemma
gptkb:Central_limit_theorem
gptkb:Burnside's_lemma
gptkb:Cayley's_theorem
gptkb:Euclid's_lemma
gptkb:Prime_Number_Theorem
Spectral theorem
Bezout's identity
Krull's theorem
Law of large numbers
Lucas' theorem
gptkbp:hasSection gptkb:algebra
gptkb:geometry
gptkb:logic
gptkb:set_theory
gptkb:topology
gptkb:category_theory
gptkb:order_theory
calculus
complex analysis
group theory
model theory
number theory
combinatorics
graph theory
real analysis
set.mm formal system
https://www.w3.org/2000/01/rdf-schema#label Metamath set.mm
gptkbp:isLargestDatabaseOf gptkb:Metamath
gptkbp:license public domain
gptkbp:maintainedBy Norman Megill
gptkbp:partOf gptkb:Metamath
gptkbp:referencedIn gptkb:Wikipedia
arXiv papers
proof assistants community
gptkbp:size over 25,000 theorems
gptkbp:supportsFormat plain text
gptkbp:usedFor formal verification
mathematical logic research
proof checking
gptkbp:writtenBy Metamath language
gptkbp:bfsParent gptkb:Mario_Carneiro
gptkbp:bfsLayer 7