val_mk — Mathlib

English

The relation val(mk i) = Localization.mk(i.num, ⟨i.den, i.den_mem⟩) holds by construction.

Русский

relation val(mk i) = Localization.mk (i.num) ⟨i.den, i.den_mem⟩ держится по определению.

LaTeX

$$$\\mathrm{val}(\\mathrm{mk}(i)) = \\mathrm{Localization.mk}(i.\\mathrm{num} : A) \\langle i.\\mathrm{den}, i.\\mathrm{den\\,mem} \\rangle$$$

Lean4

@[simp]
theorem val_mk (i : NumDenSameDeg 𝒜 x) : val (mk i) = Localization.mk (i.num : A) ⟨i.den, i.den_mem⟩ :=
  rfl

Похожие утверждения