Theorems · Theorem · algebraic topology
SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace_index_coe
∀ {X : SSet} {A : X.Subcomplex} (h : A.PairingCore) [inst : h.IsProper] (s : h.ι) {d : ℕ} (hd : h.dim s = d),
↑(⋯.index hd) = ↑(h.index s)- Cited by
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- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.N.toSstatement · cited by 171
- SSet.Subcomplex.N.toNstatement · cited by 126
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.ιstatement and proof · cited by 42
- SSet.Subcomplex.PairingCore.dimstatement and proof · cited by 22
- SSet.S.IsUniquelyCodimOneFace.indexstatement · cited by 14
- SSet.Subcomplex.PairingCore.type₁statement · cited by 13
- SSet.Subcomplex.PairingCore.type₂statement · cited by 12
- SSet.Subcomplex.PairingCore.indexstatement and proof · cited by 12
- SSet.Subcomplex.PairingCore.IsProperstatement and proof · cited by 10
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