Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.isRegular_iff_nonempty_weakRankFunction
∀ {X : SSet} {A : X.Subcomplex} (P : A.Pairing) [P.IsProper], P.IsRegular ↔ Nonempty (P.WeakRankFunction ℕ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.Pairing.IsProperstatement and proof · cited by 58
- SSet.Subcomplex.Pairing.IsRegularstatement and proof · cited by 17
- SSet.Subcomplex.Pairing.WeakRankFunctionstatement and proof · cited by 8
- SSet.Subcomplex.Pairing.WeakRankFunction.isRegularproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.PairingCore.isRegular_iff_nonempty_weakRankFunctionproof · cited by 0