Theorems · Theorem · general topology
Metric.thickening_subset_cthickening_of_le
∀ {α : Type u} [inst : PseudoEMetricSpace α] {δ₁ δ₂ : ℝ},
δ₁ ≤ δ₂ → ∀ (E : Set α), Metric.thickening δ₁ E ⊆ Metric.cthickening δ₂ E- Defined in
- Mathlib.Topology.MetricSpace.Thickening
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- LE.le.transproof · cited by 3,151
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Metric.thickeningstatement · cited by 130
- Metric.cthickeningstatement · cited by 113
- Metric.thickening_subset_cthickeningproof · cited by 12
- Metric.cthickening_monoproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- ae_eq_zero_of_integral_contMDiff_smul_eq_zeroproof · cited by 3