Theorems · Theorem · algebraic topology
SSet.stdSimplex.nonDegenerate_top_dim
∀ (n : ℕ),
(SSet.stdSimplex.obj { len := n }).nonDegenerate n =
{SSet.stdSimplex.objEquiv.symm (CategoryTheory.CategoryStruct.id (Opposite.unop (Opposite.op { len := n })))}- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- Equiv.symmstatement and proof · cited by 3,681
- Set.extproof · cited by 2,266
- Opposite.unopstatement and proof · cited by 2,231
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
Cited by1
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.subcomplex_hasDimensionLT_of_neq_topproof · cited by 1