Mathlib Map

Theorems · Theorem · algebraic topology

SSet.hasDimensionLT_of_le

∀ (X : SSet) (d : ℕ) [X.HasDimensionLT d] (n : ℕ),
  autoParam (d ≤ n) SSet.hasDimensionLT_of_le._auto_1 → X.HasDimensionLT n
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Dimension
Cited by
2 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SSet.HasDimensionLT
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.hasDimensionLT_prod · cited by 1SSet.hasDimensionLT_prodSSet.stdSimplex.hasDimensionLT_face · cited by 0stdSimplex.hasDimensionLT…LE.le.trans · cited by 3151le.transSSet · cited by 1283SSetSSet.HasDimensionLT · cited by 32SSet.HasDimensionLTSSet.degenerate_eq_univ_of_hasDimensionLT · cited by 6SSet.degenerate_eq_univ_o…SSet.hasDimensionLT_of_leCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.