Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.Cover.Arrow.middle_spec

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C} {X : C}
  {S : J.Cover X} {T : (I : S.Arrow) → J.Cover I.Y} (I : (S.bind T).Arrow),
  CategoryTheory.CategoryStruct.comp I.toMiddleHom I.fromMiddleHom = I.f

Defined in

Mathlib.CategoryTheory.Sites.Grothendieck

Cited by

2 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category