Theorems · Definition · algebraic topology
SSet.StrictSegalCore.spineToSimplex
{X : SSet} → ((n : ℕ) → X.StrictSegalCore n) → {n : ℕ} → X.Path n → X.obj (Opposite.op { len := n })Auxiliary definition for StrictSegal.ofCore.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.StrictSegalCorestatement and proof · cited by 13
- SSet.StrictSegalCore.spineToSimplexAuxproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- SSet.StrictSegalCore.spineToSimplex_succstatement · cited by 2
- SSet.StrictSegalCore.δ₀_spineToSimplexstatement and proof · cited by 1
- SSet.StrictSegalCore.map_mkOfSucc_zero_spineToSimplexstatement and proof · cited by 1
- SSet.StrictSegalCore.spineToSimplex_spinestatement and proof · cited by 0
- SSet.StrictSegalCore.spineToSimplex_zerostatement · cited by 0
- SSet.StrictSegalCore.spine_spineToSimplexstatement · cited by 0
- SSet.StrictSegal.ofCoreproof · cited by 0