Theorems · Definition · category theory

CategoryTheory.Functor.IsLocalization.casesOn

{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} →
            {motive : L.IsLocalization W → Sort u} →
              (t : L.IsLocalization W) →
                ((inverts : W.IsInvertedBy L) →
                    (isEquivalence : (CategoryTheory.Localization.Construction.lift L inverts).IsEquivalence) →
                      motive ⋯) →
                  motive t

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category