Theorems · Definition · algebraic topology
SSet.Path
SSet → ℕ → Type u
A path of length n in a simplicial set X is defined as a 1-truncated
path in the 1-truncation of X.
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- SSetstatement and proof · cited by 1,283
- SSet.Truncated.Pathproof · cited by 37
- SSet.truncationproof · cited by 34
Cited by66
Results whose statement or proof uses this declaration.
- SSet.Path.arrowstatement and proof · cited by 27
- SSet.spinestatement · cited by 23
- SSet.Path.vertexstatement and proof · cited by 19
- SSet.StrictSegal.spineToSimplexstatement · cited by 16
- SSet.Path.intervalstatement and proof · cited by 13
- SSet.Path.mapstatement and proof · cited by 7
- SSet.stdSimplex.spineIdstatement · cited by 6
- SSet.StrictSegalCore.spineToSimplexstatement and proof · cited by 6
- SSet.Path.ext'statement and proof · cited by 5
- SSet.StrictSegal.spineInjectivestatement · cited by 4
- SSet.StrictSegal.spineToSimplex_arrowstatement and proof · cited by 4
- SSet.horn.spineIdstatement · cited by 4