Theorems · Theorem · category theory

CategoryTheory.StructuredArrow.preEquivalenceFunctor_obj_hom

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {E : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} E] (F : CategoryTheory.Functor C D)
  {G : CategoryTheory.Functor D E} {e : E} (f : CategoryTheory.StructuredArrow e G)
  (g : CategoryTheory.StructuredArrow f (CategoryTheory.StructuredArrow.pre e F G)),
  ((CategoryTheory.StructuredArrow.preEquivalenceFunctor F f).obj g).hom =
    CategoryTheory.StructuredArrow.Hom.right g.hom

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category