Theorems · Theorem · general topology
thickenedIndicator.congr_simp
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] {δ δ_1 : ℝ} (e_δ : δ = δ_1) (δ_pos : 0 < δ) (E E_1 : Set α),
E = E_1 → thickenedIndicator δ_pos E = thickenedIndicator ⋯ E_1- Cited by
- 2 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.
Cites6
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
- NNRealstatement · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- BoundedContinuousFunctionstatement · cited by 511
- thickenedIndicatorstatement and proof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.