Theorems · Theorem · general topology
HasSmallInductiveDimensionLT_zero_iff
Deprecated since 2026-06-21Use hasSmallInductiveDimensionLT_zero_iff instead.
∀ {X : Type u_1} [inst : TopologicalSpace X], HasSmallInductiveDimensionLT X 0 ↔ IsEmpty XAlias of hasSmallInductiveDimensionLT_zero_iff.
- Defined in
- Mathlib.Topology.SmallInductiveDimension
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- IsEmptystatement · cited by 759
- HasSmallInductiveDimensionLTstatement · cited by 9
- hasSmallInductiveDimensionLT_zero_iffproof · cited by 1
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