Theorems · Definition · category theory

CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.casesOn

{C₁ : Type u₁} →
  {C₂ : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C₁] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} C₂] →
        {W₁ : CategoryTheory.MorphismProperty C₁} →
          {W₂ : CategoryTheory.MorphismProperty C₂} →
            {Φ : CategoryTheory.LocalizerMorphism W₁ W₂} →
              {motive : Φ.IsRightDerivabilityStructure → Sort u} →
                (t : Φ.IsRightDerivabilityStructure) →
                  ((hasRightResolutions : Φ.HasRightResolutions) →
                      (guitartExact' :
                          CategoryTheory.TwoSquare.GuitartExact
                            (CategoryTheory.CatCommSq.iso Φ.functor W₁.Q W₂.Q (Φ.localizedFunctor W₁.Q W₂.Q)).hom) →
                        motive ⋯) →
                    motive t

Defined in

Mathlib.CategoryTheory.Localization.DerivabilityStructure.Basic

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category