Theorems · Theorem · algebraic topology
SSet.Subcomplex.PairingCore.isRegular_iff_nonempty_weakRankFunction
∀ {X : SSet} {A : X.Subcomplex} (P : A.PairingCore) [P.IsProper], P.IsRegular ↔ Nonempty (P.WeakRankFunction ℕ)- Cited by
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- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.symmproof · cited by 3,681
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- Equiv.nonempty_congrproof · cited by 47
- SSet.Subcomplex.PairingCore.pairingproof · cited by 11
- SSet.Subcomplex.PairingCore.IsProperstatement and proof · cited by 10
- SSet.Subcomplex.PairingCore.WeakRankFunctionstatement and proof · cited by 7
- SSet.Subcomplex.PairingCore.IsRegularstatement · cited by 6
- SSet.Subcomplex.PairingCore.isRegular_pairing_iffproof · cited by 4
- SSet.Subcomplex.PairingCore.weakRankFunctionEquivproof · cited by 2
- SSet.Subcomplex.Pairing.isRegular_iff_nonempty_weakRankFunctionproof · cited by 1
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