Theorems · Definition · category theory
CompHausLike.HasExplicitPullback
{P : TopCat → Prop} → {X Y B : CompHausLike P} → (X ⟶ B) → (Y ⟶ B) → PropA typeclass describing the property that an explicit pullback is stable under the property P.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierproof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- CompHausLike.toTopproof · cited by 258
- CompHausLikestatement and proof · cited by 145
- CompHausLike.HasPropproof · cited by 19
Cited by24
Results whose statement or proof uses this declaration.
- CompHausLike.pullbackstatement and proof · cited by 13
- CompHausLike.pullback.fststatement and proof · cited by 7
- CompHausLike.pullback.sndstatement and proof · cited by 7
- CompHausLike.pullback.liftstatement and proof · cited by 6
- CompHausLike.pullback.conestatement and proof · cited by 4
- CompHausLike.pullback.conditionstatement and proof · cited by 3
- CompHausLike.pullback.isLimitstatement and proof · cited by 2
- CompHausLike.hasPullbacksOfInclusionsstatement and proof · cited by 1
- CompHausLike.pullback.lift_fststatement and proof · cited by 1
- CompHausLike.pullback.lift_sndstatement and proof · cited by 1
- CompHausLike.finitaryExtensivestatement and proof · cited by 0
- CompHausLike.HasExplicitPullbacks.casesOnstatement and proof · cited by 0