Theorems · Definition · algebraic topology
SSet.StrictSegal.spineToSimplex
{X : SSet} → X.StrictSegal → {n : ℕ} → X.Path n → X.obj (Opposite.op { len := n })The inverse to spine X n.
- Cited by
- 16 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 · cited by 46
- SSet.StrictSegalstatement and proof · cited by 25
Cited by20
Results whose statement or proof uses this declaration.
- SSet.StrictSegal.spineToSimplex_arrowstatement and proof · cited by 4
- SSet.StrictSegal.spineToDiagonalproof · cited by 3
- SSet.StrictSegal.spineToSimplex_vertexstatement and proof · cited by 3
- SSet.StrictSegal.spine_spineToSimplex_applystatement · cited by 3
- SSet.StrictSegal.isPointwiseRightKanExtensionAt.liftproof · cited by 3
- SSet.StrictSegal.spineEquivproof · cited by 2
- SSet.StrictSegal.spineToSimplex_edgestatement and proof · cited by 1
- SSet.StrictSegal.spineToSimplex_intervalstatement and proof · cited by 1
- SSet.StrictSegal.spineToSimplex_spinestatement · cited by 1
- SSet.StrictSegal.spineToSimplex_spine_applystatement · cited by 1
- SSet.StrictSegal.spine_spineToSimplexstatement · cited by 1
- SSet.StrictSegal.spine_δ_arrow_eqstatement and proof · cited by 1