Theorems · Definition · algebraic topology
SSet.prodStdSimplex.pairing
{m : ℕ} → (k : Fin (m + 2)) → (n : ℕ) → ((SSet.horn (m + 1) k).unionProd (SSet.boundary n)).PairingA regular pairing for Subcomplex.unionProd.{u} Λ[m + 1, k.castSucc] ∂Δ[n]
when k : Fin (m + 1) and n : ℕ.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Iso.transproof · cited by 566
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.hornstatement · cited by 162
- SSet.boundarystatement · cited by 141
- SSet.Subcomplex.Pairingstatement · cited by 117
- SSet.Subcomplex.unionProdstatement · cited by 96
Cited by4
Results whose statement or proof uses this declaration.
- SSet.prodStdSimplex.anodyneExtensions_unionProd_ιproof · cited by 1
- SSet.prodStdSimplex.innerAnodyneExtensions_unionProd_ιproof · cited by 1
- SSet.prodStdSimplex.pairing_castSuccstatement · cited by 0
- SSet.prodStdSimplex.strongAnodyneExtensions_unionProd_ιproof · cited by 0