Theorems · Inductive type · algebraic topology
SSet.HasDimensionLT
SSet → ℕ → Prop
A simplicial set X has dimension < d iff for any n : ℕ
such that d ≤ n, all n-simplices are degenerate.
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement · cited by 1,283
Cited by35
Results whose statement or proof uses this declaration.
- SSet.dim_lt_of_nonDegeneratestatement and proof · cited by 7
- SSet.degenerate_eq_univ_of_hasDimensionLTstatement and proof · cited by 6
- SSet.nonDegenerate_eq_empty_of_hasDimensionLTstatement and proof · cited by 4
- SSet.hasDimensionLT_iff_of_isostatement and proof · cited by 3
- SSet.finite_of_monoproof · cited by 3
- SSet.hasDimensionLT_of_epistatement and proof · cited by 2
- SSet.hasDimensionLT_of_finitestatement · cited by 2
- SSet.hasDimensionLT_of_lestatement and proof · cited by 2
- SSet.hasDimensionLT_of_monostatement and proof · cited by 2
- SSet.hasDimensionLT_subcomplex_top_iffstatement · cited by 2
- SSet.HasDimensionLEproof · cited by 2
- SSet.stdSimplex.le_boundary_iffproof · cited by 2