Theorems · Theorem · category theory

CategoryTheory.unitCompPartialBijectiveAux_symm_apply

∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {i : CategoryTheory.Functor D C} [inst_2 : CategoryTheory.Reflective i] {A : C} {B : D}
  (f : i.obj ((CategoryTheory.reflector i).obj A) ⟶ i.obj B),
  (CategoryTheory.unitCompPartialBijectiveAux A B).symm f =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.reflectorAdjunction i).unit.app A) f

The description of the inverse of the bijection unitCompPartialBijectiveAux.

Defined in

Mathlib.CategoryTheory.Adjunction.Reflective

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Reflective