Theorems · Theorem · algebraic topology
SSet.N.nonDegenerate
∀ {X : SSet} (self : X.N), self.simplex ∈ X.nonDegenerate self.dim- Cited by
- 11 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.N.toSstatement · cited by 171
- SSet.S.dimstatement · cited by 162
- SSet.S.simplexstatement · cited by 111
- SSet.nonDegeneratestatement · cited by 106
- SSet.Nstatement and proof · cited by 70
Cited by14
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexCellsEquivproof · cited by 3
- SSet.N.le_iff_exists_monoproof · cited by 3
- SSet.prodStdSimplex.pairingCore.IsIndex.isType₂_δproof · cited by 2
- SSet.N.mk_surjectiveproof · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.Cell.subcomplex_not_le_image_hornproof · cited by 2
- SSet.finite_of_hasDimensionLTproof · cited by 2
- SSet.N.existsUnique_of_leproof · cited by 2
- SSet.N.inductionproof · cited by 2
- SSet.Subcomplex.N.mk_surjectiveproof · cited by 1
- SSet.hasDimensionLT_prodproof · cited by 1
- SSet.finite_iSup_iffproof · cited by 1
- SSet.prodStdSimplex.pairingCore.IsType₂.strictMono_φproof · cited by 1