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Theorems · Definition · algebraic topology

SSet.Subcomplex.Pairing.II

{X : SSet} → {A : X.Subcomplex} → A.Pairing → Set A.N

the set of type (II) simplices

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Pairing
Cited by
58 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Quot.sound
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Around this declaration

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

SSet.Subcomplex.Pairing.p · cited by 32Pairing.pSSet.Subcomplex.Pairing.AncestralRel · cited by 22Pairing.AncestralRelSSet.Subcomplex.Pairing.RankFunction.Cell.s · cited by 21Cell.sSSet.Subcomplex.Pairing.isUniquelyCodimOneFace · cited by 12Pairing.isUniquelyCodimOn…SSet.Subcomplex.Pairing.RankFunction.rank · cited by 10RankFunction.rankSSet.Subcomplex.Pairing.ofIso · cited by 7Pairing.ofIsoSSet.Subcomplex.Pairing.RankFunction.subcomplex_le_filtration · cited by 6RankFunction.subcomplex_l…SSet.Subcomplex.Pairing.le · cited by 4Pairing.leSSet.Subcomplex.Pairing.op · cited by 4Pairing.opSSet.Subcomplex.Pairing.RankFunction.filtration_def · cited by 4RankFunction.filtration_d…SSet.Subcomplex.Pairing.RankFunction.lt · cited by 3RankFunction.ltSSet.Subcomplex.Pairing.WeakRankFunction.rank · cited by 3WeakRankFunction.rankSSet.Subcomplex.Pairing.RankFunction.Cell.range_map · cited by 2Cell.range_mapSSet.Subcomplex.Pairing.RankFunction.Cell.subcomplex_not_le_image_horn · cited by 2Cell.subcomplex_not_le_im…SSet.Subcomplex.Pairing.dim_p · cited by 2Pairing.dim_pSet · cited by 53352SetSSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.N · cited by 155Subcomplex.NSSet.Subcomplex.Pairing · cited by 117Subcomplex.PairingPairing.IICITED BYCITES

Cites5

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

Cited by93

Results whose statement or proof uses this declaration.