Theorems · Theorem · category theory

CategoryTheory.Functor.partialLeftAdjointHomEquiv_map_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 X' : F.PartialLeftAdjointSource} {Y : D} (f : X ⟶ X')
  (g : F.partialLeftAdjointObj X' ⟶ Y),
  F.partialLeftAdjointHomEquiv (CategoryTheory.CategoryStruct.comp (F.partialLeftAdjointMap f) g) =
    CategoryTheory.CategoryStruct.comp f.hom (F.partialLeftAdjointHomEquiv g)

Defined in

Mathlib.CategoryTheory.Adjunction.PartialAdjoint

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category