Theorems · Theorem · algebraic topology
SSet.StrictSegal.spineToSimplex_spine_apply
∀ {X : SSet} (sx : X.StrictSegal) {n : ℕ} (Δ : X.obj (Opposite.op { len := n })), sx.spineToSimplex (X.spine n Δ) = Δ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.StrictSegalstatement and proof · cited by 25
- SSet.spinestatement · cited by 23
- SSet.StrictSegal.spineToSimplexstatement · cited by 16
- SSet.StrictSegal.spineToSimplex_spineproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- SSet.StrictSegal.spineEquivproof · cited by 2
- SSet.StrictSegal.quasicategoryproof · cited by 0