Theorems · Theorem · category theory

CategoryTheory.FreeGroupoid.liftNatIso_hom_app

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {G : Type u₁} [inst_1 : CategoryTheory.Groupoid G]
  (F₁ F₂ : CategoryTheory.Functor (CategoryTheory.FreeGroupoid C) G)
  (τ : (CategoryTheory.FreeGroupoid.of C).comp F₁ ≅ (CategoryTheory.FreeGroupoid.of C).comp F₂) (X : C),
  (CategoryTheory.FreeGroupoid.liftNatIso F₁ F₂ τ).hom.app (CategoryTheory.FreeGroupoid.mk X) = τ.hom.app X

Defined in

Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory

Cited by

3 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Groupoid