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Theorems · Definition · category theory

CategoryTheory.Limits.Types.pullbackCone

{X Y Z : Type u} → (f : X ⟶ Z) → (g : Y ⟶ Z) → CategoryTheory.Limits.PullbackCone f g

The explicit pullback cone on PullbackObj f g. This is bundled with the IsLimit data as pullbackLimitCone f g.

Defined in
Mathlib.CategoryTheory.Limits.Types.Pullbacks
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

CategoryTheory.Limits.Types.pullbackLimitCone · cited by 6Types.pullbackLimitConeTypeCat.TransitiveRelation.ofIsTrans · cited by 0TransitiveRelation.ofIsTr…CategoryTheory.Limits.Types.pullbackLimitCone_cone · cited by 0Types.pullbackLimitCone_c…CategoryTheory.Limits.Types.pullbackLimitCone_isLimit · cited by 0Types.pullbackLimitCone_i…Quiver.Hom · cited by 32603Quiver.HomTypeCat.ofHom · cited by 389TypeCat.ofHomCategoryTheory.Limits.PullbackCone.mk · cited by 203PullbackCone.mkCategoryTheory.Limits.PullbackCone · cited by 136Limits.PullbackConeCategoryTheory.Limits.Types.PullbackObj · cited by 17Types.PullbackObjTypes.pullbackConeCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.