Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.le
∀ {X : SSet} {A : X.Subcomplex} (P : A.Pairing) [P.IsProper] (x : ↑P.II), ↑x ≤ ↑(P.p x)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.Pairing.IIstatement and proof · cited by 58
- SSet.Subcomplex.Pairing.IsProperstatement and proof · cited by 58
- SSet.Subcomplex.Pairing.pstatement · cited by 32
- SSet.Subcomplex.Pairing.Istatement · cited by 25
Cited by4
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.Pairing.RankFunction.Cell.preimage_filtration_mapproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.Cell.image_horn_lt_subcomplexproof · cited by 1
- SSet.Subcomplex.Pairing.ltproof · cited by 0
- SSet.Subcomplex.Pairing.RankFunction.iSup_filtrationproof · cited by 0