Theorems · Inductive type · category theory
CategoryTheory.Limits.Bicone.IsBilimit
{J : Type w} →
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{F : J → C} → CategoryTheory.Limits.Bicone F → Type (max (max uC uC') w)Structure witnessing that a bicone is both a limit cone and a colimit cocone.
- Cited by
- 18 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Limits.HasZeroMorphismsstatement · cited by 3,275
- CategoryTheory.Limits.Biconestatement · cited by 75
Cited by47
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Bicone.IsBilimit.isLimitstatement and proof · cited by 9
- CategoryTheory.Limits.Bicone.IsBilimit.isColimitstatement and proof · cited by 6
- CategoryTheory.Limits.isBilimitOfPreservesstatement and proof · cited by 4
- CategoryTheory.Limits.biproduct.isBilimitstatement · cited by 2
- CategoryTheory.Limits.LimitBicone.isBilimitstatement · cited by 2
- CategoryTheory.Limits.biconeIsBilimitOfColimitCoconeOfIsColimitstatement · cited by 2
- CategoryTheory.Limits.biconeIsBilimitOfLimitConeOfIsLimitstatement · cited by 2
- CategoryTheory.Limits.Bicone.whiskerIsBilimitIffstatement and proof · cited by 2
- CategoryTheory.Limits.preservesBiproduct_of_preservesProductproof · cited by 2
- CategoryTheory.Limits.biproduct.uniqueUpToIsostatement and proof · cited by 2
- CategoryTheory.Limits.Bicone.IsBilimit.mk.injstatement · cited by 1
- CategoryTheory.Limits.Bicone.IsBilimit.extstatement and proof · cited by 1