Theorems · Theorem · category theory

CategoryTheory.FreeGroupoid.of_comp_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} D]
  (F : CategoryTheory.Functor C D),
  (CategoryTheory.FreeGroupoid.of C).comp (CategoryTheory.FreeGroupoid.map F) =
    F.comp (CategoryTheory.FreeGroupoid.of D)

Defined in

Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Category