Theorems · Inductive type · algebraic topology
SSet.Subcomplex.Pairing.IsInner
{X : SSet} → {A : X.Subcomplex} → (P : A.Pairing) → [P.IsProper] → PropThe condition that a pairing only involves inner horns.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Pairingstatement · cited by 117
- SSet.Subcomplex.Pairing.IsProperstatement · cited by 58
Cited by11
Results whose statement or proof uses this declaration.
- SSet.strongInnerAnodyneExtensionsproof · cited by 5
- SSet.Subcomplex.Pairing.innerAnodyneExtensionsstatement and proof · cited by 2
- SSet.Subcomplex.Pairing.strongInnerAnodyneExtensionsstatement and proof · cited by 1
- SSet.Subcomplex.Pairing.IsInner.ne_laststatement and proof · cited by 1
- SSet.Subcomplex.Pairing.IsInner.ne_zerostatement and proof · cited by 1
- SSet.Subcomplex.Pairing.IsInner.casesOnstatement and proof · cited by 0
- SSet.Subcomplex.Pairing.IsInner.congr_simpstatement and proof · cited by 0
- SSet.Subcomplex.Pairing.IsInner.recOnstatement and proof · cited by 0
- SSet.strongInnerAnodyneExtensions_le_innerAnodyneExtensionsproof · cited by 0
- SSet.strongInnerAnodyneExtensions_le_strongAnodyneExtensionsproof · cited by 0
- SSet.strongInnerAnodyneExtensions_ι_iffstatement and proof · cited by 0