Theorems · Definition · category theory
CategoryTheory.Limits.BinaryBiproductData.bicone
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{P Q : C} → CategoryTheory.Limits.BinaryBiproductData P Q → CategoryTheory.Limits.BinaryBicone P QA bicone over P Q : C, which is both a limit cone and a colimit cocone.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.BinaryBiconestatement · cited by 111
- CategoryTheory.Limits.BinaryBiproductDatastatement and proof · cited by 8
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.BinaryBiproduct.biconeproof · cited by 68
- CategoryTheory.Limits.BinaryBiproductData.opproof · cited by 5
- CategoryTheory.Limits.biprod.opIso_hom_fstproof · cited by 3
- CategoryTheory.Limits.biprod.opIso_hom_sndproof · cited by 3
- CategoryTheory.Limits.BinaryBiproductData.ofIsoproof · cited by 2
- CategoryTheory.Pretriangulated.exists_iso_binaryBiproduct_of_distTriangproof · cited by 1
- CategoryTheory.Limits.biprod.inl_opIso_invproof · cited by 1
- CategoryTheory.Limits.BinaryBiproductData.isBilimitstatement · cited by 1
- CategoryTheory.Limits.biprod.inr_opIso_invproof · cited by 1
- CategoryTheory.Limits.pointwiseBinaryBiproductData_biconestatement and proof · cited by 0
- CategoryTheory.Pretriangulated.binaryBiproductData_bicone_inlstatement and proof · cited by 0
- CategoryTheory.Limits.BinaryBiproductData.ofIso_biconestatement and proof · cited by 0