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Theorems · Inductive type · category theory

CategoryTheory.LocalizerMorphism.LeftResolution.Hom

{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} →
            {Φ : CategoryTheory.LocalizerMorphism W₁ W₂} →
              {X₂ : C₂} → Φ.LeftResolution X₂ → Φ.LeftResolution X₂ → Type v_1

The type of morphisms in the category Φ.LeftResolution X₂.

Defined in
Mathlib.CategoryTheory.Localization.Resolution
Cited by
8 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.LeftResolution.Hom.f · cited by 13Hom.fCategoryTheory.LocalizerMorphism.LeftResolution.Hom.ext · cited by 2Hom.extCategoryTheory.LocalizerMorphism.LeftResolution.Hom.id · cited by 1Hom.idCategoryTheory.LocalizerMorphism.LeftResolution.Hom.mk.inj · cited by 1mk.injCategoryTheory.LocalizerMorphism.LeftResolution.Hom.mk.noConfusion · cited by 1mk.noConfusionCategoryTheory.LocalizerMorphism.LeftResolution.Hom.comm · cited by 1Hom.commCategoryTheory.LocalizerMorphism.LeftResolution.Hom.comp · cited by 1Hom.compCategoryTheory.LocalizerMorphism.LeftResolution.Hom.noConfusion · cited by 0Hom.noConfusionCategoryTheory.LocalizerMorphism.LeftResolution.Hom.noConfusionType · cited by 0Hom.noConfusionTypeCategoryTheory.LocalizerMorphism.LeftResolution.Hom.recOn · cited by 0Hom.recOnCategoryTheory.LocalizerMorphism.LeftResolution.Hom.mk.injEq · cited by 0mk.injEqCategoryTheory.LocalizerMorphism.LeftResolution.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specCategoryTheory.LocalizerMorphism.LeftResolution.Hom.casesOn · cited by 0Hom.casesOnCategoryTheory.LocalizerMorphism.LeftResolution.Hom.comm_assoc · cited by 0Hom.comm_assocCategoryTheory.LocalizerMorphism.LeftResolution.Hom.comp_f · cited by 0Hom.comp_fCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.LocalizerMorphism · cited by 161CategoryTheory.LocalizerM…CategoryTheory.LocalizerMorphism.LeftResolution · cited by 41LocalizerMorphism.LeftRes…LeftResolution.HomCITED BYCITES

Cites4

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Cited by17

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