Theorems · Definition · category theory

CategoryTheory.PrelaxFunctorStruct.mkOfHomPrefunctors

{B : Type u₁} →
  [inst : Quiver B] →
    [inst_1 : (a b : B) → Quiver (a ⟶ b)] →
      {C : Type u₂} →
        [inst_2 : Quiver C] →
          [inst_3 : (a b : C) → Quiver (a ⟶ b)] →
            (F : B → C) → ((a b : B) → (a ⟶ b) ⥤q (F a ⟶ F b)) → CategoryTheory.PrelaxFunctorStruct B C

Construct a lax prefunctor from a map on objects, and prefunctors between the corresponding hom types.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Prelax

Cited by

4 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

QuiverQuiverQuiverQuiver