Theorems · Theorem · algebraic topology
SSet.Nonsingular.isIso_toOfSimplex
∀ {X : SSet} [X.Nonsingular] {n : ℕ}, ∀ x ∈ X.nonDegenerate n, CategoryTheory.IsIso (SSet.Subcomplex.toOfSimplex x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.Nonsingular
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- 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
- CategoryTheory.IsIsostatement · cited by 1,156
- SSet.stdSimplexstatement · cited by 499
- SSet.Subcomplex.toSSetstatement · cited by 315
- SSet.nonDegeneratestatement and proof · cited by 106
- SSet.Subcomplex.ofSimplexstatement · cited by 73
- SSet.Nonsingularstatement and proof · cited by 22
- SSet.Subcomplex.toOfSimplexstatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.