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Theorems · Definition · category theory

CompHausLike.pullback.snd

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

The projection from the pullback to the second component.

Defined in
Mathlib.Topology.Category.CompHausLike.Limits
Cited by
7 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompHausLike.HasExplicitPullback
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Around this declaration

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

CompHausLike.preregular · cited by 19CompHausLike.preregularCompHausLike.pullback.cone · cited by 4pullback.coneCompHausLike.pullback.condition · cited by 3pullback.conditionCompHausLike.pullback.lift_snd · cited by 1pullback.lift_sndCompHausLike.pullback.lift_snd_assoc · cited by 0pullback.lift_snd_assocCompHausLike.pullback.condition_assoc · cited by 0pullback.condition_assocCompHausLike.pullback.cone_π · cited by 0pullback.cone_πCompHausLike.pullback.hom_ext · cited by 0pullback.hom_extDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomSet.ofPred · cited by 6101Set.ofPredCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatCompHausLike.toTop · cited by 258CompHausLike.toTopCompHausLike · cited by 145CompHausLikeCategoryTheory.ConcreteCategory.ofHom · cited by 18ConcreteCategory.ofHomCompHausLike.HasExplicitPullback · cited by 14CompHausLike.HasExplicitP…CompHausLike.pullback · cited by 13CompHausLike.pullbackpullback.sndCITED BYCITES

Cites11

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

Cited by8

Results whose statement or proof uses this declaration.