Theorems · Definition · category theory

CategoryTheory.Core.forgetFunctorToCore

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {G : Type u₂} →
      [inst_1 : CategoryTheory.Groupoid G] →
        CategoryTheory.Functor (CategoryTheory.Functor G (CategoryTheory.Core C)) (CategoryTheory.Functor G C)

We can functorially associate to any functor from a groupoid to the core of a category C, a functor from the groupoid to C, simply by composing with the embedding Core C ⥤ C.

Defined in

Mathlib.CategoryTheory.Core

Cited by

3 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Groupoid