Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Limits.multicospanShapeEnd

(J : Type u) → [CategoryTheory.Category.{v, u} J] → CategoryTheory.Limits.MulticospanShape

The shape of multiequalizer diagrams involved in the definition of ends.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.End
Cited by
23 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
CategoryTheory.Category

Around this declaration

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

CategoryTheory.Limits.multicospanIndexEnd · cited by 22Limits.multicospanIndexEndCategoryTheory.Limits.end_.hom_ext · cited by 11end_.hom_extCategoryTheory.Limits.Wedge.IsLimit.lift · cited by 5IsLimit.liftCategoryTheory.MonoidalCategory.DayConvolutionInternalHom.isLimitWedge · cited by 4DayConvolutionInternalHom…CategoryTheory.Limits.Wedge.condition · cited by 3Wedge.conditionCategoryTheory.Limits.Wedge.IsLimit.hom_ext · cited by 3IsLimit.hom_extCategoryTheory.Limits.Wedge.IsLimit.lift_ι · cited by 3IsLimit.lift_ιCategoryTheory.Limits.ChosenEndsOfShape.isEnd · cited by 2ChosenEndsOfShape.isEndCategoryTheory.Limits.Wedge.ext · cited by 2Wedge.extCategoryTheory.Limits.Wedge.mk_ι · cited by 2Wedge.mk_ιCategoryTheory.MonoidalCategory.DayConvolutionInternalHom.mk.inj · cited by 1mk.injCategoryTheory.MonoidalCategory.DayConvolutionInternalHom.mk.noConfusion · cited by 1mk.noConfusionCategoryTheory.Limits.multicospanIndexEnd_fst · cited by 0Limits.multicospanIndexEn…CategoryTheory.Limits.multicospanIndexEnd_left · cited by 0Limits.multicospanIndexEn…CategoryTheory.Limits.multicospanIndexEnd_right · cited by 0Limits.multicospanIndexEn…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Arrow · cited by 713CategoryTheory.ArrowCategoryTheory.Arrow.left · cited by 426Arrow.leftCategoryTheory.Arrow.right · cited by 423Arrow.rightCategoryTheory.Limits.MulticospanShape · cited by 160Limits.MulticospanShapeLimits.multicospanShapeEndCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by35

Results whose statement or proof uses this declaration.