Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.Point.comp_hom_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C}
  {Φ₁ Φ₂ Φ₃ : J.Point} (f : Φ₁ ⟶ Φ₂) (g : Φ₂ ⟶ Φ₃) {Z : CategoryTheory.Functor C (Type w)} (h : Φ₁.fiber ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp f g).hom h =
    CategoryTheory.CategoryStruct.comp g.hom (CategoryTheory.CategoryStruct.comp f.hom h)

Defined in

Mathlib.CategoryTheory.Sites.Point.Category

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category