Theorems · Inductive type · algebraic topology
SSet.Subcomplex.PairingCore.IsProper
{X : SSet} → {A : X.Subcomplex} → A.PairingCore → PropThe condition that h : A.PairingCore is proper, i.e. for each s : h.ι,
the type (II) simplex h.type₂ s is uniquely a 1-codimensional
face of the type (I) simplex h.type₁ s.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement · cited by 1,283
- SSet.Subcomplexstatement · cited by 461
- SSet.Subcomplex.PairingCorestatement · cited by 50
Cited by14
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.PairingCore.isRegular_pairing_iffproof · cited by 4
- SSet.Subcomplex.PairingCore.isUniquelyCodimOneFacestatement and proof · cited by 2
- SSet.Subcomplex.PairingCore.IsProper.isUniquelyCodimOneFacestatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.isProper_pairing_iffstatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace_indexstatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.IsProper.casesOnstatement and proof · cited by 0
- SSet.Subcomplex.PairingCore.IsProper.recOnstatement and proof · cited by 0
- SSet.Subcomplex.PairingCore.IsRegular.casesOnstatement and proof · cited by 0
- SSet.Subcomplex.PairingCore.IsRegular.recOnstatement and proof · cited by 0
- SSet.Subcomplex.PairingCore.RankFunction.isRegularstatement and proof · cited by 0
- SSet.Subcomplex.PairingCore.WeakRankFunction.isRegularstatement and proof · cited by 0
- SSet.Subcomplex.PairingCore.isRegular_iff_nonempty_rankFunctionstatement and proof · cited by 0