Theorems · Definition · category theory
CategoryTheory.Limits.walkingSpanOpEquiv
CategoryTheory.Limits.WalkingSpanᵒᵖ ≌ CategoryTheory.Limits.WalkingCospan
The duality equivalence WalkingSpanᵒᵖ ≌ WalkingCospan
- 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.widePushoutShapeOpEquivproof · cited by 6
Cited by25
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.PushoutCocone.opproof · cited by 7
- CategoryTheory.Limits.PushoutCocone.op_π_appstatement · cited by 5
- CategoryTheory.Limits.PushoutCocone.isColimitEquivIsLimitOpproof · cited by 5
- CategoryTheory.Limits.PullbackCone.unop_ι_appstatement · cited by 4
- CategoryTheory.Limits.PullbackCone.unopproof · cited by 4
- CategoryTheory.Limits.opSpanstatement and proof · cited by 3
- CategoryTheory.Limits.cospanOpstatement and proof · cited by 3
- CategoryTheory.Limits.cospanUnopstatement and proof · cited by 3
- CategoryTheory.Limits.PushoutCocone.isColimitYonedaEquivproof · cited by 1
- CategoryTheory.Limits.opSpan_inv_appstatement · cited by 1
- CategoryTheory.Limits.opSpan_hom_appstatement · cited by 0
- CategoryTheory.Limits.cospanOp_hom_appstatement · cited by 0