Freek Wiedijk の Formalizing 100 Theorems の各定理が、Formalizing 1000+ Theorems(Wikipedia の List of theorems から取った一覧)に載っているかの対応表です(2026-09-27 作成)。

◎ 同じ定理が載っている:61件 △ 一部・より一般の形で載っている:3件 — 載っていない:36件

No. 100 Theorems 1000+ の項目(Wikidata) MSC(分野) 対応 形式化済の体系数
1 The Irrationality of the Square Root of 2 — — — 13
2 Fundamental Theorem of Algebra Fundamental theorem of algebra(Q192760) 30 複素関数 ◎ 9
3 The Denumerability of the Rational Numbers — — — 12
4 Pythagorean Theorem Pythagorean theorem(Q11518) 51 幾何学 ◎ 9
5 Prime Number Theorem Prime number theorem(Q386292) 11 整数論 ◎ 4
6 Gödel's Incompleteness Theorem Gödel's incompleteness theorem(Q200787) 03 数理論理学・基礎論 ◎ 5
7 Law of Quadratic Reciprocity Quadratic reciprocity theorem(Q472883) 11 整数論 ◎ 7
8 The Impossibility of Trisecting the Angle and Doubling the Cube Impossibility of angle trisection(Q733081)
角の三等分のみ(立方体の倍積は含まない)
51 幾何学 △ 2
9 The Area of a Circle — — — 6
10 Euler's Generalization of Fermat's Little Theorem Euler's theorem(Q193910) 11 整数論 ◎ 7
11 The Infinitude of Primes Euclid's theorem(Q1506253) 11 整数論 ◎ 12
12 The Independence of the Parallel Postulate Independence of the parallel postulate(Q207014) 51 幾何学 ◎ 2
13 Polyhedron Formula Euler's polyhedron theorem(Q852973) 51 幾何学 ◎ 4
14 Euler's Summation of 1 + (1/2)^2 + (1/3)^2 + .... Basel problem(Q810431) 26 実関数 ◎ 6
15 Fundamental Theorem of Integral Calculus Fundamental theorem of calculus(Q1217677) 26 実関数 ◎ 9
16 Insolvability of General Higher Degree Equations Abel–Ruffini theorem(Q657482) 12 体論・多項式 ◎ 2
17 De Moivre's Theorem De Moivre's theorem(Q190556) 30 複素関数 ◎ 8
18 Liouville's Theorem and the Construction of Transcendental Numbers — — — 6
19 Four Squares Theorem Lagrange's four-square theorem(Q756946) 11 整数論 ◎ 8
20 All Primes (1 mod 4) Equal the Sum of Two Squares Fermat's theorem on sums of two squares(Q914517) 11 整数論 ◎ 9
21 Green's Theorem Green's theorem(Q321237) 26 実関数 ◎ 2
22 The Non-Denumerability of the Continuum Uncountability of the continuum(Q22952648) 03 数理論理学・基礎論 ◎ 10
23 Formula for Pythagorean Triples — — — 8
24 The Undecidability of the Continuum Hypothesis Independence of the continuum hypothesis(Q208416) 03 数理論理学・基礎論 ◎ 2
25 Schroeder-Bernstein Theorem Cantor–Bernstein–Schroeder theorem(Q1033910) 03 数理論理学・基礎論 ◎ 10
26 Leibniz's Series for Pi — — — 7
27 Sum of the Angles of a Triangle — — — 6
28 Pascal's Hexagon Theorem Pascal's theorem(Q899002) 51 幾何学 ◎ 3
29 Feuerbach's Theorem Feuerbach's theorem(Q2190744) 51 幾何学 ◎ 3
30 The Ballot Problem Bertrand's ballot theorem(Q2253746) 60 確率論 ◎ 8
31 Ramsey's Theorem Ramsey's theorem(Q918099) 05 組合せ論 ◎ 11
32 The Four Color Problem Four color theorem(Q184410) 05 組合せ論 ◎ 1
33 Fermat's Last Theorem Fermat's Last Theorem(Q132469) 11 整数論 ◎ 1
34 Divergence of the Harmonic Series — — — 10
35 Taylor's Theorem Taylor's theorem(Q1137206) 26 実関数 ◎ 9
36 Brouwer Fixed Point Theorem Brouwer fixed-point theorem(Q1144897) 54 一般位相 ◎ 4
37 The Solution of a Cubic Solutions of a general cubic equation(Q203565) 12 体論・多項式 ◎ 6
38 Arithmetic Mean/Geometric Mean — — — 8
39 Solutions to Pell's Equation Solutions to Pell's equation(Q853067) 11 整数論 ◎ 5
40 Minkowski's Fundamental Theorem Minkowski's theorem(Q1097021) 11 整数論 ◎ 4
41 Puiseux's Theorem Puiseux's theorem(Q401319) 14 代数幾何 ◎ 2
42 Sum of the Reciprocals of the Triangular Numbers — — — 9
43 The Isoperimetric Theorem Isoperimetric theorem(Q617417) 51 幾何学 ◎ 1
44 The Binomial Theorem Binomial theorem(Q26708) 05 組合せ論 ◎ 10
45 The Partition Theorem Euler's partition theorem(Q1082910) 11 整数論 ◎ 6
46 The Solution of the General Quartic Equation Solutions of a general quartic equation(Q476776) 12 体論・多項式 ◎ 6
47 The Central Limit Theorem Central limit theorem(Q190391) 60 確率論 ◎ 2
48 Dirichlet's Theorem Dirichlet's theorem on arithmetic progressions(Q550402) 11 整数論 ◎ 4
49 The Cayley-Hamilton Theorem Cayley–Hamilton theorem(Q656772) 15 線形代数・行列 ◎ 5
50 The Number of Platonic Solids Classification of Platonic solids(Q188745) 51 幾何学 ◎ 2
51 Wilson's Theorem Wilson's theorem(Q276082) 11 整数論 ◎ 8
52 The Number of Subsets of a Set — — — 11
53 Pi is Transcendental Lindemann–Weierstrass theorem(Q1572474)
Lindemann–Weierstrass の定理に含まれる
11 整数論 △ 3
54 Konigsberg Bridges Problem — — — 8
55 Product of Segments of Chords Intersecting chords theorem(Q2266397) 51 幾何学 ◎ 6
56 The Hermite-Lindemann Transcendence Theorem Lindemann–Weierstrass theorem(Q1572474)
Lindemann–Weierstrass の定理
11 整数論 ◎ 3
57 Heron's Formula — — — 6
58 Formula for the Number of Combinations — — — 9
59 The Laws of Large Numbers — — — 4
60 Bezout's Theorem Bézout's theorem(Q1542114) 14 代数幾何 ◎ 12
61 Theorem of Ceva Ceva's theorem(Q213603) 51 幾何学 ◎ 5
62 Fair Games Theorem Optional stopping theorem(Q2027347)
任意停止定理
60 確率論 ◎ 4
63 Cantor's Theorem Cantor's theorem(Q474881) 03 数理論理学・基礎論 ◎ 11
64 L'Hôpital's Rule — — — 7
65 Isosceles Triangle Theorem — — — 7
66 Sum of a Geometric Series — — — 11
67 e is Transcendental Lindemann–Weierstrass theorem(Q1572474)
Lindemann–Weierstrass の定理に含まれる
11 整数論 △ 6
68 Sum of an arithmetic series — — — 11
69 Greatest Common Divisor Algorithm — — — 13
70 The Perfect Number Theorem Euclid–Euler theorem(Q18206266) 11 整数論 ◎ 7
71 Order of a Subgroup Lagrange's theorem (group theory)(Q505798) 20 群論 ◎ 9
72 Sylow's Theorem Sylow theorems(Q1057919) 20 群論 ◎ 8
73 Ascending or Descending Sequences Erdős–Szekeres theorem(Q976607) 52 凸・離散幾何 ◎ 7
74 The Principle of Mathematical Induction — — — 11
75 The Mean Value Theorem Mean value theorem(Q189136) 26 実関数 ◎ 9
76 Fourier Series Fourier theorem(Q179467)
Fourier theorem(フーリエ級数)
43 抽象調和解析 ◎ 4
77 Sum of kth powers — — — 5
78 The Cauchy-Schwarz Inequality — — — 10
79 The Intermediate Value Theorem Intermediate value theorem(Q245098) 26 実関数 ◎ 9
80 The Fundamental Theorem of Arithmetic Fundamental theorem of arithmetic(Q670235) 11 整数論 ◎ 12
81 Divergence of the Prime Reciprocal Series — — — 8
82 Dissection of Cubes (J.E. Littlewood's "elegant" proof) — — — 3
83 The Friendship Theorem Friendship theorem(Q5504427) 05 組合せ論 ◎ 6
84 Morley's Theorem Morley's trisector theorem(Q913447) 51 幾何学 ◎ 4
85 Divisibility by 3 Rule — — — 10
86 Lebesgue Measure and Integration — — — 6
87 Desargues's Theorem Desargues's theorem(Q841893) 51 幾何学 ◎ 5
88 Derangements Formula — — — 7
89 The Factor and Remainder Theorems — — — 7
90 Stirling's Formula Stirling's theorem(Q470877) 26 実関数 ◎ 5
91 The Triangle Inequality — — — 10
92 Pick's Theorem Pick's theorem(Q646523) 51 幾何学 ◎ 2
93 The Birthday Problem — — — 8
94 The Law of Cosines — — — 7
95 Ptolemy's Theorem Ptolemy's theorem(Q459547) 51 幾何学 ◎ 6
96 Principle of Inclusion/Exclusion — — — 9
97 Cramer's Rule — — — 7
98 Bertrand's Postulate Bertrand's postulate(Q632546) 11 整数論 ◎ 6
99 Buffon Needle Problem — — — 4
100 Descartes Rule of Signs — — — 45