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Theorems · Definition · category theory

CategoryTheory.InducedWideCategory.Hom.hom

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₂} D] →
      {F : C → D} →
        {P : CategoryTheory.MorphismProperty D} →
          [inst_1 : P.IsMultiplicative] → {X Y : CategoryTheory.InducedWideCategory D F P} → X.Hom Y → (F X ⟶ F Y)

The underlying morphism.

Defined in
Mathlib.CategoryTheory.Widesubcategory
Cited by
19 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicative

Around this declaration

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

CategoryTheory.InducedWideCategory.Hom.ext · cited by 2Hom.extCategoryTheory.wideInducedFunctor · cited by 2CategoryTheory.wideInduce…CategoryTheory.WideSubcategory.hom_ext · cited by 1WideSubcategory.hom_extCategoryTheory.WideSubcategory.tensorHom_hom · cited by 0WideSubcategory.tensorHom…CategoryTheory.InducedWideCategory.category_comp_hom · cited by 0InducedWideCategory.categ…CategoryTheory.InducedWideCategory.category_id_hom · cited by 0InducedWideCategory.categ…CategoryTheory.WideSubcategory.tensorμ_hom · cited by 0WideSubcategory.tensorμ_h…CategoryTheory.WideSubcategory.whiskerLeft_hom · cited by 0WideSubcategory.whiskerLe…CategoryTheory.WideSubcategory.whiskerRight_hom · cited by 0WideSubcategory.whiskerRi…CategoryTheory.WideSubcategory.isoMk_hom_hom · cited by 0WideSubcategory.isoMk_hom…CategoryTheory.WideSubcategory.isoMk_inv_hom · cited by 0WideSubcategory.isoMk_inv…CategoryTheory.MorphismProperty.comul_hom · cited by 0MorphismProperty.comul_homCategoryTheory.InducedWideCategory.Hom.ext_iff · cited by 0Hom.ext_iffCategoryTheory.InducedWideCategory.Hom.property · cited by 0Hom.propertyCategoryTheory.WideSubcategory.comp_def · cited by 0WideSubcategory.comp_defCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…CategoryTheory.InducedWideCategory · cited by 12CategoryTheory.InducedWid…CategoryTheory.InducedWideCategory.Hom · cited by 8InducedWideCategory.HomHom.homCITED BYCITES

Cites6

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Cited by20

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