Theorems · Theorem · general topology
thickenedIndicator_subset
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {δ : ℝ} (δ_pos : 0 < δ) {E₁ E₂ : Set α},
E₁ ⊆ E₂ → ⇑(thickenedIndicator δ_pos E₁) ≤ ⇑(thickenedIndicator δ_pos E₂)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 154 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NNRealstatement · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- BoundedContinuousFunctionstatement · cited by 511
- ne_top_of_ltproof · cited by 50
- thickenedIndicatorstatement · cited by 23
- thickenedIndicatorAux_lt_topproof · cited by 6
- ENNReal.toNNReal_le_toNNRealproof · cited by 4
- thickenedIndicatorAux_subsetproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.