sumLexCongr_refl — Mathlib

English

The identity maps act as a reflexive unit for sumLexCongr: sumLexCongr (.refl α) (.refl β) = .refl _.

Русский

Идентичности образуют тождественный элемент для sumLexCongr: sumLexCongr (refl α) (refl β) = refl (Lex (Sum α β)).

LaTeX

$$$\text{sumLexCongr}(.\mathrm{refl} \alpha)(.\mathrm{refl} \beta) = .\mathrm{refl} _$$$

Lean4

@[simp]
theorem sumLexCongr_refl : sumLexCongr (.refl α) (.refl β) = .refl _ := by ext; simp

Похожие утверждения