Theorems · Theorem · algebraic topology
SSet.horn.spineId_map_hornInclusion
∀ {n : ℕ} (i : Fin (n + 3)) (h₀ : 0 < i) (hₙ : i < Fin.last (n + 2)),
(SSet.horn.spineId i h₀ hₙ).map (SSet.horn (n + 2) i).ι = SSet.stdSimplex.spineId (n + 2)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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 · cited by 162
- SSet.Subcomplex.ιstatement · cited by 136
- SSet.Pathstatement · cited by 46
- SSet.Path.mapstatement · cited by 7
- SSet.stdSimplex.spineIdstatement · cited by 6
- SSet.horn.spineIdstatement · cited by 4
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