Theorems · Theorem · category theory

CategoryTheory.FreeGroupoid.lift_unique

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {G : Type u₁} [inst_1 : CategoryTheory.Groupoid G]
  (φ : CategoryTheory.Functor C G) (Φ : CategoryTheory.Functor (CategoryTheory.FreeGroupoid C) G),
  (CategoryTheory.FreeGroupoid.of C).comp Φ = φ → Φ = CategoryTheory.FreeGroupoid.lift φ

Defined in

Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory

Cited by

5 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Groupoid