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Theorems · Definition · category theory

CategoryTheory.Limits.WalkingCospan.Hom.inl

CategoryTheory.Limits.WalkingCospan.left ⟶ CategoryTheory.Limits.WalkingCospan.one

The left arrow of the walking cospan.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Pullback.Cospan
Cited by
24 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms

Around this declaration

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

CategoryTheory.Limits.PullbackCone.condition · cited by 44PullbackCone.conditionCategoryTheory.Limits.diagramIsoCospan · cited by 17Limits.diagramIsoCospanCategoryTheory.Limits.PullbackCone.equalizer_ext · cited by 5PullbackCone.equalizer_extCategoryTheory.Limits.cospanHomMk · cited by 4Limits.cospanHomMkCategoryTheory.Limits.cospanIsoMk · cited by 4Limits.cospanIsoMkCategoryTheory.Limits.PullbackCone.isoMk · cited by 4PullbackCone.isoMkCategoryTheory.compatiblePreservingOfFlat · cited by 3CategoryTheory.compatible…CategoryTheory.Limits.PullbackCone.condition_one · cited by 2PullbackCone.condition_oneCategoryTheory.Limits.Cone.ofPullbackCone · cited by 2Cone.ofPullbackConeCategoryTheory.Limits.diagramIsoCospan_hom_app · cited by 2Limits.diagramIsoCospan_h…CategoryTheory.Limits.PullbackCone.ofCone · cited by 2PullbackCone.ofConeCategoryTheory.IsPullback.of_isLimit_cone · cited by 1IsPullback.of_isLimit_coneCategoryTheory.PreGaloisCategory.fiberPullbackEquiv_symm_fst_apply · cited by 1PreGaloisCategory.fiberPu…CategoryTheory.PreGaloisCategory.fiberPullbackEquiv_symm_snd_apply · cited by 1PreGaloisCategory.fiberPu…TopCat.range_pullback_map · cited by 1TopCat.range_pullback_mapQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.WalkingCospan · cited by 496Limits.WalkingCospanCategoryTheory.Limits.WalkingCospan.left · cited by 190WalkingCospan.leftCategoryTheory.Limits.WalkingCospan.one · cited by 31WalkingCospan.oneHom.inlCITED BYCITES

Cites5

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

Cited by30

Results whose statement or proof uses this declaration.