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Theorems · Definition · category theory

CategoryTheory.Limits.BinaryBiconeMorphism.hom

{C : Type uC} →
  [inst : CategoryTheory.Category.{uC', uC} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {P Q : C} →
        {A B : CategoryTheory.Limits.BinaryBicone P Q} → CategoryTheory.Limits.BinaryBiconeMorphism A B → (A.pt ⟶ B.pt)

A morphism between the two vertex objects of the bicones

Defined in
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
Cited by
17 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms

Around this declaration

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

CategoryTheory.Limits.BinaryBicones.functoriality · cited by 7BinaryBicones.functoriali…CategoryTheory.Limits.BinaryBicone.toBiconeFunctor · cited by 4BinaryBicone.toBiconeFunc…CategoryTheory.Limits.BinaryBiconeMorphism.ext · cited by 1BinaryBiconeMorphism.extCategoryTheory.Limits.BinaryBiconeMorphism.wfst · cited by 1BinaryBiconeMorphism.wfstCategoryTheory.Limits.BinaryBiconeMorphism.winl · cited by 1BinaryBiconeMorphism.winlCategoryTheory.Limits.BinaryBiconeMorphism.winr · cited by 1BinaryBiconeMorphism.winrCategoryTheory.Limits.BinaryBiconeMorphism.wsnd · cited by 1BinaryBiconeMorphism.wsndCategoryTheory.Limits.BinaryBiconeMorphism.ext_iff · cited by 0BinaryBiconeMorphism.ext_…CategoryTheory.Limits.BinaryBiconeMorphism.wfst_assoc · cited by 0BinaryBiconeMorphism.wfst…CategoryTheory.Limits.BinaryBiconeMorphism.winl_assoc · cited by 0BinaryBiconeMorphism.winl…CategoryTheory.Limits.BinaryBiconeMorphism.winr_assoc · cited by 0BinaryBiconeMorphism.winr…CategoryTheory.Limits.BinaryBiconeMorphism.wsnd_assoc · cited by 0BinaryBiconeMorphism.wsnd…CategoryTheory.Limits.BinaryBicones.ext_hom_hom · cited by 0BinaryBicones.ext_hom_homCategoryTheory.Limits.BinaryBicones.ext_inv_hom · cited by 0BinaryBicones.ext_inv_homCategoryTheory.Limits.BinaryBicones.functoriality_map_hom · cited by 0BinaryBicones.functoriali…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.BinaryBicone · cited by 111Limits.BinaryBiconeCategoryTheory.Limits.BinaryBicone.pt · cited by 95BinaryBicone.ptCategoryTheory.Limits.BinaryBiconeMorphism · cited by 13Limits.BinaryBiconeMorphi…BinaryBiconeMorphism.homCITED BYCITES

Cites6

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Cited by19

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