Theorems · Theorem · category theory

CategoryTheory.Localization.Construction.fac

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] {W : CategoryTheory.MorphismProperty C} {D : Type uD}
  [inst_1 : CategoryTheory.Category.{uD', uD} D] (G : CategoryTheory.Functor C D) (hG : W.IsInvertedBy G),
  W.Q.comp (CategoryTheory.Localization.Construction.lift G hG) = G

Defined in

Mathlib.CategoryTheory.Localization.Construction

Cited by

3 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category