Theorems · Theorem · category theory

CategoryTheory.Functor.partialLeftAdjointHomEquiv_map

∀ {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 Y : F.PartialLeftAdjointSource} (f : X ⟶ Y),
  F.partialLeftAdjointHomEquiv (F.partialLeftAdjointMap f) =
    CategoryTheory.CategoryStruct.comp f.hom
      (F.partialLeftAdjointHomEquiv (CategoryTheory.CategoryStruct.id (F.partialLeftAdjointObj Y)))

Defined in

Mathlib.CategoryTheory.Adjunction.PartialAdjoint

Cited by

2 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category