Balanced

(𝕜 : Type u_1) → {E : Type u_3} → [SeminormedRing 𝕜] → [SMul 𝕜 E] → Set E → Prop

A set A is balanced if a • A is contained in A whenever a has norm at most 1.

Defined in: Mathlib.Analysis.LocallyConvex.Basic
Cited by: 77 results in Mathlib
Foundations: Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: SeminormedRing SMul

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