Theorems · Definition · algebraic topology
SSet.prodStdSimplex.pairingCore
{m : ℕ} → (k : Fin (m + 1)) → (n : ℕ) → ((SSet.horn (m + 1) k.castSucc).unionProd (SSet.boundary n)).PairingCoreThe underlying structure which gives a pairing for
Subcomplex.unionProd Λ[m + 1, k.castSucc] ∂Δ[n]
when k : Fin (m + 1) and n : ℕ.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement and proof · cited by 499
- CategoryTheory.SimplicialObject.δproof · cited by 188
- SSet.N.toSproof · cited by 171
- SSet.hornstatement and proof · cited by 162
- SSet.Subcomplex.Nproof · cited by 155
Cited by8
Results whose statement or proof uses this declaration.
- SSet.prodStdSimplex.pairingproof · cited by 4
- SSet.prodStdSimplex.pairingCore_indexstatement and proof · cited by 0
- SSet.prodStdSimplex.pairingCore_simplexstatement and proof · cited by 0
- SSet.prodStdSimplex.pairingCore_ιstatement and proof · cited by 0
- SSet.prodStdSimplex.pairing_castSuccstatement · cited by 0
- SSet.prodStdSimplex.type₁_pairingCorestatement · cited by 0
- SSet.prodStdSimplex.weakRankFunctionstatement and proof · cited by 0
- SSet.prodStdSimplex.pairingCore_dimstatement and proof · cited by 0