Theorems · Definition · algebraic topology
SSet.horn.spineId
{n : ℕ} → (i : Fin (n + 3)) → 0 < i → i < Fin.last (n + 2) → (SSet.horn (n + 2) i).toSSet.Path (n + 2)Any inner horn contains the spine of the unique non-degenerate n-simplex
in Δ[n].
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 89 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.
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- SSet.Subcomplex.toSSetstatement · cited by 315
- SSet.hornstatement and proof · cited by 162
- SSet.Pathstatement · cited by 46
- SSet.stdSimplex.spineIdproof · cited by 6
- SSet.Subcomplex.liftPathproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- SSet.horn.spineId_arrow_coestatement and proof · cited by 0
- SSet.horn.spineId_map_hornInclusionstatement · cited by 0
- SSet.horn.spineId_vertex_coestatement and proof · cited by 0
- SSet.StrictSegal.quasicategoryproof · cited by 0