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Theorems · Theorem · algebraic topology

SSet.relativeCellComplexOfMono.Cell.preimage_map

∀ {X Y : SSet} {i : X ⟶ Y} {d : ℕ} (c : SSet.relativeCellComplexOfMono.Cell i d),
  ((SSet.skeletonOfMono i) d).preimage c.map = SSet.boundary d
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Skeleton
Cited by
1 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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SSet.relativeCellComplexOfMono.isPullback · cited by 1relativeCellComplexOfMono…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objTop.top · cited by 9680Top.topCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.NatTrans.app · cited by 7406NatTrans.appSet.Elem · cited by 7166Set.ElemCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idSet.preimage · cited by 4946Set.preimageCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homEquiv.symm · cited by 3681Equiv.symmSimplexCategory · cited by 2204SimplexCategoryQuiver.Hom.op · cited by 1948Hom.opSSet · cited by 1283SSetCell.preimage_mapCITED BYCITES

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