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Theorems · Theorem · algebraic topology

SSet.Subcomplex.preimage_iInf

∀ {X Y : SSet} {ι : Type u_1} (A : ι → X.Subcomplex) (p : Y ⟶ X), (⨅ i, A i).preimage p = ⨅ i, (A i).preimage p
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Subcomplex
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Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appSet.preimage · cited by 4946Set.preimageCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSet.ext · cited by 2266Set.extSimplexCategory · cited by 2204SimplexCategoryiInf · cited by 1690iInfSSet · cited by 1283SSetSet.iInter · cited by 1084Set.iInterSSet.Subcomplex · cited by 461SSet.SubcomplexCategoryTheory.Subfunctor.obj · cited by 227Subfunctor.objCategoryTheory.Subfunctor.ext · cited by 38Subfunctor.extSubcomplex.preimage_iInfCITED BYCITES

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