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Theorems · Theorem · functional analysis

Balanced.balancedHull_subset_of_subset

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : SeminormedRing 𝕜] [inst_1 : SMul 𝕜 E] {s t : Set E},
  Balanced 𝕜 t → s ⊆ t → balancedHull 𝕜 s ⊆ t

The balanced hull of s is minimal in the sense that it is contained in any balanced superset t of s.

Defined in
Mathlib.Analysis.LocallyConvex.BalancedCoreHull
Cited by
3 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SeminormedRingSMul

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