Theorems · Definition · category theory
CategoryTheory.Limits.walkingCospanOpEquiv
CategoryTheory.Limits.WalkingCospanᵒᵖ ≌ CategoryTheory.Limits.WalkingSpan
The duality equivalence WalkingCospanᵒᵖ ≌ WalkingSpan
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- CategoryTheory.Limits.WalkingPairstatement and proof · cited by 1,319
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.Limits.WalkingCospanstatement · cited by 496
- CategoryTheory.Limits.WalkingSpanstatement · cited by 300
- CategoryTheory.Limits.widePullbackShapeOpEquivproof · cited by 6
Cited by24
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.PullbackCone.opproof · cited by 4
- CategoryTheory.Limits.PullbackCone.op_ι_appstatement · cited by 4
- CategoryTheory.Limits.PushoutCocone.unopproof · cited by 4
- CategoryTheory.Limits.PushoutCocone.unop_π_appstatement · cited by 4
- CategoryTheory.Limits.spanOpstatement and proof · cited by 3
- CategoryTheory.Limits.spanUnopstatement and proof · cited by 3
- CategoryTheory.Limits.PushoutCocone.isColimitEquivIsLimitUnopproof · cited by 3
- CategoryTheory.Limits.opCospanstatement and proof · cited by 3
- CategoryTheory.Limits.opCospan_hom_appstatement · cited by 1
- CategoryTheory.Limits.walkingCospanOpEquiv_counitIso_hom_appstatement and proof · cited by 0
- CategoryTheory.Limits.walkingCospanOpEquiv_counitIso_inv_appstatement and proof · cited by 0
- CategoryTheory.Limits.walkingCospanOpEquiv_functor_mapstatement and proof · cited by 0