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Theorems · Definition · category theory

CategoryTheory.LocalizerMorphism.HasRightResolutions

{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 → Prop

A localizer morphism has right resolutions when any object has a right resolution.

Defined in
Mathlib.CategoryTheory.Localization.Resolution
Cited by
16 results in Mathlib
Foundations
Depth 5 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.isRightDerivabilityStructure_iff · cited by 3LocalizerMorphism.isRight…CategoryTheory.LocalizerMorphism.essSurj_of_hasRightResolutions · cited by 2LocalizerMorphism.essSurj…CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.mk' · cited by 2IsRightDerivabilityStruct…CategoryTheory.LocalizerMorphism.hasRightResolutions_of_iso_of_essSurj · cited by 2LocalizerMorphism.hasRigh…CategoryTheory.LocalizerMorphism.hasLeftResolutions_iff_op · cited by 1LocalizerMorphism.hasLeft…CategoryTheory.LocalizerMorphism.hasRightResolutions_arrow_of_functorial_resolutions · cited by 1LocalizerMorphism.hasRigh…CategoryTheory.LocalizerMorphism.hasRightResolutions_iff_iso_of_essSurj_of_full · cited by 1LocalizerMorphism.hasRigh…CategoryTheory.LocalizerMorphism.hasRightResolutions_iff_op · cited by 1LocalizerMorphism.hasRigh…CategoryTheory.LocalizerMorphism.hasRightResolutions_of_iso_of_essSurj_of_full · cited by 1LocalizerMorphism.hasRigh…CategoryTheory.LocalizerMorphism.isRightDerivabilityStructure_iff_op · cited by 1LocalizerMorphism.isRight…CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.Constructor.isConnected · cited by 1Constructor.isConnectedCategoryTheory.LocalizerMorphism.isIso_iff_of_hasRightResolutions · cited by 0LocalizerMorphism.isIso_i…CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.casesOn · cited by 0IsRightDerivabilityStruct…CategoryTheory.LocalizerMorphism.IsRightDerivabilityStructure.recOn · cited by 0IsRightDerivabilityStruct…CategoryTheory.LocalizerMorphism.hasRightResolutions_arrow_iff_of_equivalences · cited by 0LocalizerMorphism.hasRigh…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.LocalizerMorphism · cited by 161CategoryTheory.LocalizerM…CategoryTheory.LocalizerMorphism.RightResolution · cited by 48LocalizerMorphism.RightRe…LocalizerMorphism.HasRightRes…CITED BYCITES

Cites4

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Cited by18

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