Theorems · Definition · category theory

CategoryTheory.FreeGroupoid.lift

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {G : Type u₁} →
      [inst_1 : CategoryTheory.Groupoid G] →
        CategoryTheory.Functor C G → CategoryTheory.Functor (CategoryTheory.FreeGroupoid C) G

The lift of a functor from C to a groupoid to a functor from FreeGroupoid C to the groupoid

Defined in

Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory

Cited by

12 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Groupoid