Theorems · Definition · category theory

CategoryTheory.ThinSkeleton.map

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        CategoryTheory.Functor C D →
          CategoryTheory.Functor (CategoryTheory.ThinSkeleton C) (CategoryTheory.ThinSkeleton D)

A functor C ⥤ D computably lowers to a functor ThinSkeleton C ⥤ ThinSkeleton D.

Defined in

Mathlib.CategoryTheory.Skeletal

Cited by

6 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category