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Theorems · Definition · category theory

CategoryTheory.Limits.BinaryBicone.toBicone

{C : Type uC} →
  [inst : CategoryTheory.Category.{uC', uC} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      {X Y : C} →
        CategoryTheory.Limits.BinaryBicone X Y → CategoryTheory.Limits.Bicone (CategoryTheory.Limits.pairFunction X Y)

A shorthand for toBiconeFunctor.obj

Defined in
Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms
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CategoryTheory.Limits.preservesBinaryBiproduct_of_preservesBiproduct · cited by 1Limits.preservesBinaryBip…CategoryTheory.Limits.BinaryBicone.toBiconeIsBilimit · cited by 1BinaryBicone.toBiconeIsBi…CategoryTheory.Limits.BinaryBicone.toBiconeIsColimit · cited by 0BinaryBicone.toBiconeIsCo…CategoryTheory.Limits.BinaryBicone.toBiconeIsLimit · cited by 0BinaryBicone.toBiconeIsLi…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.BinaryBicone · cited by 111Limits.BinaryBiconeCategoryTheory.Limits.Bicone · cited by 75Limits.BiconeCategoryTheory.Limits.pairFunction · cited by 14Limits.pairFunctionCategoryTheory.Limits.BinaryBicone.toBiconeFunctor · cited by 4BinaryBicone.toBiconeFunc…BinaryBicone.toBiconeCITED BYCITES

Cites8

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Cited by4

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