Theorems · Definition · algebraic topology
SSet.Path.arrow
{X : SSet} → {n : ℕ} → X.Path n → Fin n → X.obj (Opposite.op { len := 1 })A path includes the data of n 1-simplices in X.
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 1,283
- SSet.Pathstatement and proof · cited by 46
- SSet.Truncated.Path.arrowproof · cited by 20
Cited by29
Results whose statement or proof uses this declaration.
- SSet.Path.ext'statement and proof · cited by 5
- SSet.StrictSegal.spineToSimplex_arrowstatement and proof · cited by 4
- SSet.Subcomplex.liftPathstatement and proof · cited by 3
- SSet.StrictSegalCore.spineToSimplex_succstatement · cited by 2
- SSet.spine_arrowstatement · cited by 2
- SSet.Path.extstatement and proof · cited by 2
- SSet.StrictSegal.spine_δ_arrow_eqstatement · cited by 1
- SSet.StrictSegal.spine_δ_arrow_gtstatement and proof · cited by 1
- SSet.StrictSegal.spine_δ_arrow_ltstatement and proof · cited by 1
- SSet.StrictSegalCore.map_mkOfSucc_zero_spineToSimplexstatement and proof · cited by 1
- SSet.StrictSegalCore.spineToSimplexAuxproof · cited by 1
- SSet.StrictSegalCore.δ₀_spineToSimplexproof · cited by 1