Theorems · Definition · category theory
CategoryTheory.Limits.WalkingSpan
Type
The type of objects for the diagram indexing a pushout, defined as a special case of
WidePushoutShape.
- Cited by
- 300 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Limits.WalkingPairproof · cited by 1,319
- CategoryTheory.Limits.WidePushoutShapeproof · cited by 47
Cited by411
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.spanstatement · cited by 294
- CategoryTheory.Limits.HasPushoutsproof · cited by 172
- CategoryTheory.Limits.PushoutCocone.mkproof · cited by 89
- CategoryTheory.Limits.WalkingSpan.leftstatement · cited by 80
- CategoryTheory.Limits.WalkingSpan.rightstatement · cited by 78
- CategoryTheory.Limits.PushoutCocone.inlstatement · cited by 58
- CategoryTheory.Limits.PushoutCocone.inrstatement · cited by 58
- CategoryTheory.Limits.PushoutCocone.mk_ι_appstatement and proof · cited by 30
- CategoryTheory.IsPushout.isColimitstatement · cited by 30
- CategoryTheory.Limits.spanExtstatement · cited by 27
- CategoryTheory.Limits.WalkingSpan.zerostatement · cited by 25
- CategoryTheory.Limits.walkingCospanOpEquivstatement · cited by 18
Showing the 200 most cited of 411.