Theorems · Theorem · category theory

CategoryTheory.Iso.hom_inv_id_app_assoc

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F G : CategoryTheory.Functor C D} (α : F ≅ G) (X : C) {Z : D} (h : F.obj X ⟶ Z),
  CategoryTheory.CategoryStruct.comp (α.hom.app X) (CategoryTheory.CategoryStruct.comp (α.inv.app X) h) = h

Defined in

Mathlib.CategoryTheory.NatIso

Cited by

40 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category