Theorems · Theorem · category theory

CategoryTheory.Localization.StrictUniversalPropertyFixedTarget.fac

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] {L : CategoryTheory.Functor C D}
  {W : CategoryTheory.MorphismProperty C} {E : Type u_3} [inst_2 : CategoryTheory.Category.{v_3, u_3} E]
  (self : CategoryTheory.Localization.StrictUniversalPropertyFixedTarget L W E) (F : CategoryTheory.Functor C E)
  (hF : W.IsInvertedBy F), L.comp (self.lift F hF) = F

there is a factorisation involving the lifted functor

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

1 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category