Theorems · Definition · category theory

CategoryTheory.PrelaxFunctor.mkOfHomFunctors

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        (F : B → C) → ((a b : B) → CategoryTheory.Functor (a ⟶ b) (F a ⟶ F b)) → CategoryTheory.PrelaxFunctor B C

Construct a prelax functor from a map on objects, and functors between the corresponding hom types.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Prelax

Cited by

6 results in Mathlib

Foundations

Depth 10 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory