Theorems · Theorem · category theory

CategoryTheory.Functor.partialLeftAdjointHomEquiv_comp

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

Defined in

Mathlib.CategoryTheory.Adjunction.PartialAdjoint

Cited by

2 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category