Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Limits.WidePushoutShape

Type w → Type w

A wide pushout shape for any type J can be written simply as Option J.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
Cited by
47 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.WalkingSpan · cited by 300Limits.WalkingSpanCategoryTheory.Limits.widePullbackShapeOp · cited by 11Limits.widePullbackShapeOpCategoryTheory.Limits.widePushoutShapeOp · cited by 11Limits.widePushoutShapeOpCategoryTheory.Limits.widePullbackShapeUnop · cited by 9Limits.widePullbackShapeU…CategoryTheory.Limits.widePushoutShapeUnop · cited by 9Limits.widePushoutShapeUn…CategoryTheory.Limits.WidePushoutShape.wideSpan · cited by 8WidePushoutShape.wideSpanCategoryTheory.Limits.WidePushoutShape.mkCocone · cited by 6WidePushoutShape.mkCoconeCategoryTheory.Limits.widePullbackShapeOpEquiv · cited by 6Limits.widePullbackShapeO…CategoryTheory.Limits.widePushoutShapeOpEquiv · cited by 6Limits.widePushoutShapeOp…CategoryTheory.Limits.widePullbackShapeOpMap · cited by 4Limits.widePullbackShapeO…CategoryTheory.Limits.widePushoutShapeOpMap · cited by 4Limits.widePushoutShapeOp…CategoryTheory.Limits.HasWidePushouts · cited by 3Limits.HasWidePushoutsCategoryTheory.Limits.WidePushoutShape.mkCocone_ι_app · cited by 3WidePushoutShape.mkCocone…CategoryTheory.Limits.WidePushoutShape.Hom.casesOn · cited by 2Hom.casesOnCategoryTheory.IsPushout.isVanKampen_iff · cited by 2IsPushout.isVanKampen_iffLimits.WidePushoutShapeCITED BYCITES

Cites0

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Nothing in Mathlib beyond the foundations.

Cited by79

Results whose statement or proof uses this declaration.