Theorems · Theorem · category theory

CategoryTheory.Grpd.freeForgetAdjunction_homEquiv_apply

∀ {C : Type u} [inst : CategoryTheory.Category.{u, u} C] {D : Type u} [inst_1 : CategoryTheory.Groupoid D]
  (F : CategoryTheory.Functor (CategoryTheory.FreeGroupoid C) D),
  ((CategoryTheory.Grpd.freeForgetAdjunction.homEquiv (CategoryTheory.Cat.of C) (CategoryTheory.Grpd.of D))
        F).toFunctor =
    (CategoryTheory.FreeGroupoid.of C).comp F

Defined in

Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Groupoid