Theorems · Theorem · general topology
smallInductiveDimension_lt_iff
∀ {X : Type u_1} [inst : TopologicalSpace X] {n : ℕ}, smallInductiveDimension X < ↑n ↔ HasSmallInductiveDimensionLT X n- Defined in
- Mathlib.Topology.SmallInductiveDimension
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 4,985
- Bot.botproof · cited by 4,720
- Nat.cast_zeroproof · cited by 1,870
- WithBotstatement and proof · cited by 1,498
- LE.le.trans_ltproof · cited by 795
- zero_leproof · cited by 382
- HasSmallInductiveDimensionLTstatement and proof · cited by 9
- smallInductiveDimensionstatement · cited by 7
- csInf_eq_bot_of_bot_memproof · cited by 4
- HasSmallInductiveDimensionLT.monoproof · cited by 4
- smallInductiveDimension_le_iffproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- smallInductiveDimension_ltproof · cited by 0
- smallInductiveDimension_eqproof · cited by 0