Theorems · Definition · category theory

CategoryTheory.Limits.Bicone.toBinaryBicone

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

A shorthand for toBinaryBiconeFunctor.obj

Defined in: Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts
Cited by: 1 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasZeroMorphisms

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Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objproof · cited by 19,642
CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
CategoryTheory.Limits.BinaryBiconestatement · cited by 111
CategoryTheory.Limits.Biconestatement and proof · cited by 75
CategoryTheory.Limits.pairFunctionstatement and proof · cited by 14
CategoryTheory.Limits.Bicone.toBinaryBiconeFunctorproof · cited by 6

Cited by4

Results whose statement or proof uses this declaration.

CategoryTheory.Limits.Bicone.toBinaryBiconeIsBilimitstatement and proof · cited by 1
CategoryTheory.Limits.hasBinaryBiproducts_of_finite_biproductsproof · cited by 0
CategoryTheory.Limits.Bicone.toBinaryBiconeIsColimitstatement and proof · cited by 0
CategoryTheory.Limits.Bicone.toBinaryBiconeIsLimitstatement and proof · cited by 0