Theorems · Definition · algebraic topology
SSet.Subcomplex.PairingCore.pairing
{X : SSet} → {A : X.Subcomplex} → A.PairingCore → A.PairingThe pairing induced by h : A.PairingCore.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Equiv.transproof · cited by 337
- SSet.Subcomplex.Pairingstatement · cited by 117
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.equivIIproof · cited by 7
- SSet.Subcomplex.PairingCore.IIproof · cited by 6
- SSet.Subcomplex.PairingCore.Iproof · cited by 4
- SSet.Subcomplex.PairingCore.equivIproof · cited by 3
Cited by14
Results whose statement or proof uses this declaration.
- SSet.prodStdSimplex.pairingproof · cited by 4
- SSet.Subcomplex.PairingCore.isRegular_pairing_iffstatement and proof · cited by 4
- SSet.Subcomplex.PairingCore.rankFunctionEquivstatement and proof · cited by 2
- SSet.Subcomplex.PairingCore.weakRankFunctionEquivstatement and proof · cited by 2
- SSet.Subcomplex.PairingCore.pairing_p_equivIIstatement · cited by 2
- SSet.Subcomplex.PairingCore.type₁_pairingstatement · cited by 1
- SSet.Subcomplex.PairingCore.isProper_pairing_iffstatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.pairing_p_symm_equivIstatement · cited by 0
- SSet.prodStdSimplex.pairing_castSuccstatement · cited by 0
- SSet.Subcomplex.PairingCore.ancestralRel_iffstatement · cited by 0
- SSet.Subcomplex.PairingCore.isRegular_iff_nonempty_rankFunctionproof · cited by 0
- SSet.Subcomplex.PairingCore.isRegular_iff_nonempty_weakRankFunctionproof · cited by 0