Theorems · Definition · category theory

CategoryTheory.StrictPseudofunctor.toFunctor

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        [inst_2 : CategoryTheory.Bicategory.Strict B] →
          [inst_3 : CategoryTheory.Bicategory.Strict C] →
            CategoryTheory.StrictPseudofunctor B C → CategoryTheory.Functor B C

A strict pseudofunctor between strict bicategories induces a functor on the underlying categories.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.StrictPseudofunctor

Cited by

2 results in Mathlib

Foundations

Depth 11 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.BicategoryCategoryTheory.Bicategory.StrictCategoryTheory.Bicategory.Strict