Theorems · Theorem · general topology
smallInductiveDimension_of_isEmpty
∀ (X : Type u_1) [inst : TopologicalSpace X] [IsEmpty X], smallInductiveDimension X = ⊥
- Defined in
- Mathlib.Topology.SmallInductiveDimension
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceIsEmpty
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.
- TopologicalSpacestatement and proof · cited by 24,529
- ENatstatement · cited by 4,985
- Bot.botstatement · cited by 4,720
- WithBotstatement · cited by 1,498
- IsEmptystatement and proof · cited by 759
- smallInductiveDimensionstatement · cited by 7
- smallInductiveDimension_eq_botproof · cited by 1
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