Theorems · Definition · category theory

CategoryTheory.LaxFunctor.mapComp

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        (self : CategoryTheory.LaxFunctor B C) →
          {a b c : B} →
            (f : a ⟶ b) →
              (g : b ⟶ c) →
                CategoryTheory.CategoryStruct.comp (self.map f) (self.map g) ⟶
                  self.map (CategoryTheory.CategoryStruct.comp f g)

The 2-morphism underlying the lax functoriality constraint.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Lax

Cited by

77 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory