Theorems · Definition · category theory
CategoryTheory.Limits.BinaryBicone.op
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{P Q : C} →
CategoryTheory.Limits.BinaryBicone P Q → CategoryTheory.Limits.BinaryBicone (Opposite.op P) (Opposite.op Q)The opposite of a binary bicone.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Oppositestatement · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.Limits.BinaryBiconestatement and proof · cited by 111
- CategoryTheory.Limits.BinaryBicone.ptproof · cited by 95
- CategoryTheory.Limits.BinaryBicone.sndproof · cited by 48
- CategoryTheory.Limits.BinaryBicone.fstproof · cited by 48
- CategoryTheory.Limits.BinaryBicone.inlproof · cited by 47
- CategoryTheory.Limits.BinaryBicone.inrproof · cited by 47
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.BinaryBiproductData.opproof · cited by 5
- CategoryTheory.Limits.BinaryBicone.IsBilimit.opstatement · cited by 0
- CategoryTheory.Limits.BinaryBicone.op_fststatement and proof · cited by 0
- CategoryTheory.Limits.BinaryBicone.op_inlstatement and proof · cited by 0
- CategoryTheory.Limits.BinaryBicone.op_inrstatement and proof · cited by 0
- CategoryTheory.Limits.BinaryBicone.op_ptstatement and proof · cited by 0
- CategoryTheory.Limits.BinaryBicone.op_sndstatement and proof · cited by 0
- CategoryTheory.Limits.BinaryBiproductData.op_biconestatement · cited by 0