Theorems · Definition · algebraic topology
SSet.N.mk
{X : SSet} → {n : ℕ} → (x : X.obj (Opposite.op { len := n })) → x ∈ X.nonDegenerate n → X.NConstructor for the type of non degenerate simplices of a simplicial set.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, 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.
- 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
- SSet.nonDegeneratestatement and proof · cited by 106
- SSet.Nstatement · cited by 70
Cited by23
Results whose statement or proof uses this declaration.
- SSet.N.orderIsoOfIsoproof · cited by 4
- SSet.N.opEquivproof · cited by 4
- SSet.relativeCellComplexCellsEquivproof · cited by 3
- SSet.N.subcomplex_le_iffproof · cited by 2
- SSet.S.existsUnique_nproof · cited by 2
- SSet.hasDimensionLT_of_finiteproof · cited by 2
- SSet.N.inductionstatement and proof · cited by 2
- SSet.N.mk_surjectivestatement · cited by 2
- SSet.finite_of_hasDimensionLTproof · cited by 2
- SSet.S.eq_iff_ofSimplex_eqproof · cited by 1
- SSet.S.existsUnique_toNπproof · cited by 1
- SSet.N.dim_lt_of_ltproof · cited by 1