Theorems · Definition · category theory

CategoryTheory.CoreSmallCategoryOfSet.functor

{Ω : Type w} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      (h : CategoryTheory.CoreSmallCategoryOfSet Ω C) → CategoryTheory.Functor (↑h.smallCategoryOfSet.obj) C

Given h : CoreSmallCategoryOfSet Ω C, this is the obvious functor h.smallCategoryOfSet.obj ⥤ C.

Defined in

Mathlib.CategoryTheory.SmallRepresentatives

Cited by

2 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Category