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Diff — Euclid's Elements

Revision #1200 → #1819 · back to history

modifiedEuclid–Euler theoremd34bb58db9d4
FieldFrom #1200To #1819
mathlib.declmersenne
mathlib.moduleMathlib.NumberTheory.LucasLehmer
noteMathlib has Nat.Perfect and Mersenne primes but no theorem characterising even perfect numbers as 2^(p−1)·(2^p − 1).Mathlib has Nat.Perfect and the mersenne function/LucasLehmer test, but no theorem characterizing even perfect numbers as 2^(p−1)·(2^p − 1) with 2^p−1 prime.
statusnot_formalizedpartial
addedEuclidean algorithm for GCD (Book VII, Props. 1–4)aebc0ce23db9
addedLaw of cosines (geometric precursor in Book II)363a54672206
addedConstructible regular polygons (Book IV)c45e4420f63c
addedImpossibility of doubling the cube1e61191a8014
addedMethod of exhaustion (Book XII)a3a51edc8683
addedGödel's incompleteness theoremdcb955b00098
addedCross ratio (projective geometry)e4522e2c697a
addedPasch's axiom47e0de4b20ce