Theorems · Definition · general topology
HasSmallInductiveDimensionLE
(X : Type u_1) → [TopologicalSpace X] → ℕ → Prop
A topological space has dimension ≤ n if it has dimension < n + 1.
- Defined in
- Mathlib.Topology.SmallInductiveDimension
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- HasSmallInductiveDimensionLTproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- smallInductiveDimension_le_iffstatement and proof · cited by 3
- HasSmallInductiveDimensionLE.monostatement and proof · cited by 0
- smallInductiveDimension_eqstatement and proof · cited by 0
- HasSmallInductiveDimensionLT.hasSmallInductiveDimensionLEstatement · cited by 0
- smallInductiveDimension_lestatement and proof · cited by 0