isAmalgamation — Mathlib

English

If x and x1 are equal as elements, then their amalgamations are equal; t.amalgamate x hx = t.amalgamate x1 ...

Русский

Если x и x1 равны как элементы, то их амальгаммы равны; t.amalgamate x hx = t.amalgamate x1 ...

LaTeX

$$amalgamate_congr_simp (t : IsSheafFor P R) (x x1) (e_x : x = x1) (hx) : t.amalgamate x hx = t.amalgamate x1 ⋯$$

Lean4

theorem isAmalgamation (t : IsSheafFor P R) {x : FamilyOfElements P R} (hx : x.Compatible) :
    x.IsAmalgamation (t.amalgamate x hx) :=
  (t x hx).exists.choose_spec

Похожие утверждения