Theorems · Theorem · category theory

CategoryTheory.Localization.Lifting.ofIsos_iso

∀ {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]
  {F₁ F₂ : CategoryTheory.Functor C E} {F₁' F₂' : CategoryTheory.Functor D E} (e : F₁ ≅ F₂) (e' : F₁' ≅ F₂')
  [inst_3 : CategoryTheory.Localization.Lifting L W F₁ F₁'],
  CategoryTheory.Localization.Lifting.iso L W F₂ F₂' =
    L.isoWhiskerLeft e'.symm ≪≫ CategoryTheory.Localization.Lifting.iso L W F₁ F₁' ≪≫ e

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Localization.Lifting