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Theorems · Inductive type · category theory

CategoryTheory.LocalizerMorphism.LeftResolution

{C₁ : Type u_1} →
  {C₂ : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C₁] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} C₂] →
        {W₁ : CategoryTheory.MorphismProperty C₁} →
          {W₂ : CategoryTheory.MorphismProperty C₂} → CategoryTheory.LocalizerMorphism W₁ W₂ → C₂ → Type (max u_1 v_2)

The category of left resolutions of an object in the target category of a localizer morphism.

Defined in
Mathlib.CategoryTheory.Localization.Resolution
Cited by
41 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.LocalizerMorphism.LeftResolution.X₁ · cited by 29LeftResolution.X₁CategoryTheory.LocalizerMorphism.LeftResolution.w · cited by 18LeftResolution.wCategoryTheory.LocalizerMorphism.HasLeftResolutions · cited by 14LocalizerMorphism.HasLeft…CategoryTheory.LocalizerMorphism.LeftResolution.Hom.f · cited by 13Hom.fCategoryTheory.LocalizerMorphism.LeftResolution.Hom · cited by 8LeftResolution.HomCategoryTheory.LocalizerMorphism.LeftResolution.hw · cited by 7LeftResolution.hwCategoryTheory.LocalizerMorphism.LeftResolution.op · cited by 6LeftResolution.opCategoryTheory.LocalizerMorphism.RightResolution.unop · cited by 6RightResolution.unopCategoryTheory.LocalizerMorphism.LeftResolution.opEquivalence · cited by 5LeftResolution.opEquivale…CategoryTheory.LocalizerMorphism.LeftResolution.opFunctor · cited by 4LeftResolution.opFunctorCategoryTheory.LocalizerMorphism.LeftResolution.unop · cited by 4LeftResolution.unopCategoryTheory.LocalizerMorphism.RightResolution.op · cited by 4RightResolution.opCategoryTheory.LocalizerMorphism.RightResolution.unopFunctor · cited by 4RightResolution.unopFunct…CategoryTheory.LocalizerMorphism.isLeftDerivabilityStructure_of_isLocalizedEquivalence · cited by 3LocalizerMorphism.isLeftD…CategoryTheory.LocalizerMorphism.hasLeftResolutions_of_iso_of_essSurj · cited by 2LocalizerMorphism.hasLeft…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.LocalizerMorphism · cited by 161CategoryTheory.LocalizerM…LocalizerMorphism.LeftResolut…CITED BYCITES

Cites3

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Cited by67

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