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Theorems · Theorem · functional analysis

Convex.thickening

∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {s : Set E},
  Convex ℝ s → ∀ (δ : ℝ), Convex ℝ (Metric.thickening δ s)
Defined in
Mathlib.Analysis.Normed.Module.Convex
Cited by
1 results in Mathlib
Foundations
Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedAddCommGroupNormedSpace
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Around this declaration

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Convex.cthickening · cited by 0Convex.cthickeningSet · cited by 53352SetReal · cited by 25697RealNormedSpace · cited by 12499NormedSpaceSeminormedAddCommGroup · cited by 2671SeminormedAddCommGroupConvex · cited by 551ConvexMetric.thickening · cited by 130Metric.thickeningconvex_ball · cited by 30convex_ballConvex.add · cited by 6Convex.addadd_ball_zero · cited by 4add_ball_zeroConvex.thickeningCITED BYCITES

Cites9

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Cited by1

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