Theorems · Theorem · general topology
HasSmallInductiveDimensionLT.mono
∀ {X : Type u_1} [inst : TopologicalSpace X] {m n : ℕ},
m ≤ n → HasSmallInductiveDimensionLT X m → HasSmallInductiveDimensionLT X n- Defined in
- Mathlib.Topology.SmallInductiveDimension
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.Elemproof · cited by 7,166
- IsEmptyproof · cited by 759
- frontierproof · cited by 214
- TopologicalSpace.IsTopologicalBasisproof · cited by 126
- add_le_add_iff_rightproof · cited by 47
- HasSmallInductiveDimensionLTstatement and proof · cited by 9
- HasSmallInductiveDimensionLT.casesOnproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- smallInductiveDimension_le_iffproof · cited by 3
- smallInductiveDimension_lt_iffproof · cited by 2
- HasSmallInductiveDimensionLE.monoproof · cited by 0
- HasSmallInductiveDimensionLT.hasSmallInductiveDimensionLEproof · cited by 0