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Theorems · Definition · category theory

CompHausLike.pullback.cone

{P : TopCat → Prop} →
  {X Y B : CompHausLike P} →
    (f : X ⟶ B) → (g : Y ⟶ B) → [CompHausLike.HasExplicitPullback f g] → CategoryTheory.Limits.PullbackCone f g

The pullback cone whose cone point is the explicit pullback.

Defined in
Mathlib.Topology.Category.CompHausLike.Limits
Cited by
4 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompHausLike.HasExplicitPullback
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CompHausLike.pullback.isLimit · cited by 2pullback.isLimitCompHausLike.pullback.isLimit_lift · cited by 0pullback.isLimit_liftLightCondensed.internallyProjective_free_natUnionInfty · cited by 0LightCondensed.internally…CompHausLike.pullback.cone_pt · cited by 0pullback.cone_ptCompHausLike.pullback.cone_π · cited by 0pullback.cone_πQuiver.Hom · cited by 32603Quiver.HomTopCat · cited by 1889TopCatCategoryTheory.Limits.PullbackCone.mk · cited by 203PullbackCone.mkCompHausLike · cited by 145CompHausLikeCategoryTheory.Limits.PullbackCone · cited by 136Limits.PullbackConeCompHausLike.HasExplicitPullback · cited by 14CompHausLike.HasExplicitP…CompHausLike.pullback.snd · cited by 7pullback.sndCompHausLike.pullback.fst · cited by 7pullback.fstCompHausLike.pullback.condition · cited by 3pullback.conditionpullback.coneCITED BYCITES

Cites9

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

Cited by5

Results whose statement or proof uses this declaration.