Theorems · Definition · category theory

CategoryTheory.StrictPseudofunctor.mapAdjunction

{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) →
                CategoryTheory.Bicategory.Adjunction f g → CategoryTheory.Bicategory.Adjunction (F.map f) (F.map g)

A strict pseudofunctor carries an adjunction f ⊣ g to an adjunction F.map f ⊣ F.map g.

Defined in

Mathlib.CategoryTheory.Bicategory.Adjunction.Basic

Cited by

4 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory