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All theorems
Formalized theorems
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MSC
Name
Isabelle
HOL Light
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Lean
Metamath
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26
Abel's theorem
L
12
Abel–Ruffini theorem
L
68
Akra–Bazzi theorem
L
11
Apéry's theorem
X
91
Arrow's impossibility theorem
X
16
Artin–Wedderburn theorem
L
46
Arzelà–Ascoli theorem
L
03
Ax–Grothendieck theorem
L
54
Baire category theorem
L
54
Banach fixed-point theorem
L
46
Banach–Alaoglu theorem
L
46
Banach–Steinhaus theorem
L
26
Basel problem
L
60
Bayes' theorem
L
18
Beck's monadicity theorem
L
60
Bertrand's ballot theorem
L
11
Bertrand's postulate
L
26
Besicovitch covering theorem
L
05
Binomial theorem
L
06
Birkhoff's representation theorem
L
15
Birkhoff–Von Neumann theorem
L
26
Bolzano–Weierstrass theorem
L
28
Bounded convergence theorem
L
54
Brouwer fixed-point theorem
X
26
Cantor's intersection theorem
L
03
Cantor's theorem
L
03
Cantor–Bernstein–Schroeder theorem
S
S
X
L
L
L
52
Carathéodory's theorem
L
28
Carathéodory's theorem
L
30
Cauchy integral theorem
L
20
Cauchy's theorem
L
20
Cayley's theorem
L
15
Cayley–Hamilton theorem
L
12
Chevalley–Warning theorem
L
11
Chinese remainder theorem
L
46
Closed graph theorem
L
03
Compactness theorem
L
11
Corners theorem
L
30
De Moivre's theorem
L
15
Dimension theorem for vector spaces
L
26
Dini's theorem
L
11
Dirichlet's theorem on arithmetic progressions
L
28
Dominated convergence theorem
L
28
Egorov's theorem
L
11
Erdős–Ginzburg–Ziv theorem
L
05
Erdős–Ko–Rado theorem
L
52
Erdős–Szekeres theorem
L
11
Euclid's theorem
L
11
Euclid–Euler theorem
L
11
Euler's partition theorem
L
26
Extreme value theorem
L
26
Fatou–Lebesgue theorem
L
11
Fermat's Last Theorem
L
11
Fermat's little theorem
L
11
Fermat's theorem on sums of two squares
L
05
Four functions theorem
L
43
Fourier inversion theorem
L
05
Friendship theorem
L
28
Fubini's theorem
L
30
Fundamental theorem of algebra
L
11
Fundamental theorem of arithmetic
L
26
Fundamental theorem of calculus
L
16
Fundamental theorem on homomorphisms
L
03
Gödel's incompleteness theorem
X
30
Hadamard three-lines theorem
L
28
Hahn decomposition theorem
L
46
Hahn–Banach theorem
L
05
Hales–Jewett theorem
L
05
Hall's marriage theorem
L
30
Hartogs's theorem
X
26
Heine–Borel theorem
L
51
Heine–Cantor theorem
L
52
Helly's theorem
L
46
Hilbert projection theorem
L
13
Hilbert's basis theorem
L
14
Hilbert's Nullstellensatz (theorem of zeroes)
L
05
Hindman's theorem
L
30
Identity theorem
L
26
Implicit function theorem
L
03
Independence of the continuum hypothesis
X
12
Integral root theorem
L
26
Intermediate value theorem
L
26
Inverse function theorem
L
16
Isomorphism theorem
L
20
Jordan–Hölder theorem
L
06
Kleene fixed-point theorem
L
03
Kleene's recursion theorem
L
06
Knaster–Tarski theorem
L
05
Kneser's theorem
X
60
Kolmogorov extension theorem
X
52
Krein–Milman theorem
L
05
Kruskal–Katona theorem
L
11
Lagrange's four-square theorem
L
20
Lagrange's theorem
L
13
Lasker–Noether theorem
L
16
Lattice theorem
L
35
Lax–Milgram theorem
L
26
Lebesgue differentiation theorem
L
54
Lebesgue's decomposition theorem
L
54
Lebesgue's density theorem
L
Showing 1 to 100 of 165 entries
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