Theorems · Theorem · category theory

CategoryTheory.StrictPseudofunctor.mapAdjunction_unit

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C] {a b : B}
  {f : a ⟶ b} {g : b ⟶ a} (F : CategoryTheory.StrictPseudofunctor B C) (adj : CategoryTheory.Bicategory.Adjunction f g),
  (F.mapAdjunction adj).unit =
    CategoryTheory.CategoryStruct.comp (F.mapId a).inv
      (CategoryTheory.CategoryStruct.comp (F.map₂ adj.unit) (F.mapComp f g).hom)

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory