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Theorems · Definition · category theory

CategoryTheory.Limits.BiconeMorphism.hom

{J : Type w} →
  {C : Type uC} →
    [inst : CategoryTheory.Category.{uC', uC} C] →
      [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {F : J → C} → {A B : CategoryTheory.Limits.Bicone F} → CategoryTheory.Limits.BiconeMorphism A B → (A.pt ⟶ B.pt)

A morphism between the two vertex objects of the bicones

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Biproducts
Cited by
13 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.Bicone.toBinaryBiconeFunctor · cited by 6Bicone.toBinaryBiconeFunc…CategoryTheory.Limits.Bicones.functoriality · cited by 5Bicones.functorialityCategoryTheory.Limits.BiconeMorphism.ext · cited by 1BiconeMorphism.extCategoryTheory.Limits.BiconeMorphism.wι · cited by 1BiconeMorphism.wιCategoryTheory.Limits.BiconeMorphism.wπ · cited by 1BiconeMorphism.wπCategoryTheory.Limits.BiconeMorphism.ext_iff · cited by 0BiconeMorphism.ext_iffCategoryTheory.Limits.Bicone.category_comp_hom · cited by 0Bicone.category_comp_homCategoryTheory.Limits.Bicone.category_id_hom · cited by 0Bicone.category_id_homCategoryTheory.Limits.BiconeMorphism.wι_assoc · cited by 0BiconeMorphism.wι_assocCategoryTheory.Limits.BiconeMorphism.wπ_assoc · cited by 0BiconeMorphism.wπ_assocCategoryTheory.Limits.Bicones.ext_hom_hom · cited by 0Bicones.ext_hom_homCategoryTheory.Limits.Bicones.ext_inv_hom · cited by 0Bicones.ext_inv_homCategoryTheory.Limits.Bicones.functoriality_map_hom · cited by 0Bicones.functoriality_map…CategoryTheory.Limits.Bicone.toBinaryBiconeFunctor_map_hom · cited by 0Bicone.toBinaryBiconeFunc…CategoryTheory.Limits.BinaryBicone.toBiconeFunctor_map_hom · cited by 0BinaryBicone.toBiconeFunc…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.Bicone · cited by 75Limits.BiconeCategoryTheory.Limits.Bicone.pt · cited by 60Bicone.ptCategoryTheory.Limits.BiconeMorphism · cited by 9Limits.BiconeMorphismBiconeMorphism.homCITED BYCITES

Cites6

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Cited by17

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