Theorems · Theorem · functional analysis
Convex.cthickening
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {s : Set E},
Convex ℝ s → ∀ (δ : ℝ), Convex ℝ (Metric.cthickening δ s)- Defined in
- Mathlib.Analysis.Normed.Module.Convex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Convexstatement and proof · cited by 551
- le_totalproof · cited by 294
- Metric.cthickeningstatement · cited by 113
- Convex.closureproof · cited by 9
- Metric.cthickening_of_nonposproof · cited by 8
- convex_iInter₂proof · cited by 3
- Metric.cthickening_eq_iInter_thickeningproof · cited by 3
- Convex.thickeningproof · cited by 1
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