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Theorems · Theorem · algebraic topology

SSet.N.orderIsoOfIso_apply

∀ {X Y : SSet} (e : X ≅ Y) (x : X.N),
  (SSet.N.orderIsoOfIso e) x =
    SSet.N.mk ((CategoryTheory.ConcreteCategory.hom (e.hom.app (Opposite.op { len := x.dim }))) x.simplex) ⋯
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.NonDegenerateSimplices
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Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCategoryTheory.Iso · cited by 3963CategoryTheory.IsoSimplexCategory · cited by 2204SimplexCategoryTypeCat.Fun · cited by 1307TypeCat.FunSSet · cited by 1283SSetRelIso · cited by 456RelIsoSSet.N.toS · cited by 171N.toSSSet.S.dim · cited by 162S.dimSSet.S.simplex · cited by 111S.simplexSSet.N · cited by 70SSet.NN.orderIsoOfIso_applyCITED BYCITES

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