Theorems · Theorem · category theory

CategoryTheory.Functor.partialRightAdjointHomEquiv_comp_symm

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor C D) {X X' : C} {Y : F.PartialRightAdjointSource} (f : F.obj X' ⟶ Y.obj) (g : X ⟶ X'),
  CategoryTheory.CategoryStruct.comp g (F.partialRightAdjointHomEquiv.symm f) =
    F.partialRightAdjointHomEquiv.symm (CategoryTheory.CategoryStruct.comp (F.map g) f)

Defined in

Mathlib.CategoryTheory.Adjunction.PartialAdjoint

Cited by

1 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category