comm — Mathlib

English

For each n, the three propositions FermatLastTheoremFor n, FermatLastTheoremWith' Nat n, and FermatLastTheoremWith' Int n are mutually equivalent.

Русский

Для каждого n три высказывания FermatLastTheoremFor n, FermatLastTheoremWith' Nat n и FermatLastTheoremWith' Int n взаимно эквивалентны.

LaTeX

$$$\\forall n\\in\\mathbb{N},\\ (FermatLastTheoremFor\\ n) \\iff (FermatLastTheoremWith'\\ Nat\\ n) \\iff (FermatLastTheoremWith'\\ Int\\ n)$$$

Lean4

theorem comm {a b c : ℤ} : Fermat42 a b c ↔ Fermat42 b a c :=
  by
  delta Fermat42
  rw [add_comm]
  tauto

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