Theorems · Definition · category theory

CategoryTheory.Functor.toOplaxFunctor

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        CategoryTheory.Functor C D →
          CategoryTheory.OplaxFunctor (CategoryTheory.LocallyDiscrete C) (CategoryTheory.LocallyDiscrete D)

A functor between two categories C and D can be lifted to an oplax functor between the corresponding locally discrete bicategories. This is just an abbreviation of Functor.toPseudofunctor.toOplax.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.LocallyDiscrete

Cited by

1 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category