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Mathlib/Analysis/LocallyConvex/Separation.lean
@@ -324,7 +324,7 @@ section Countable
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variable [NormedAddCommGroup E] [NormedSpace ℝ E] [Module 𝕜 E] [ContinuousSMul 𝕜 E]
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/-- A closed convex set `s` is the intersection of countably many half spaces in a separable Banach
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-space. Moreover, these halfspaces are all nontrivial if `s` is nonempty. -/
+space. Moreover, these halfspaces are all nontrivial if `s` is nonempty and not equal to `univ`. -/
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theorem iInter_nat_halfSpaces_eq
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(hs₁ : Convex ℝ s) (hs₂ : IsClosed s) (hsep : IsSeparable sᶜ) :
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∃ (L : ℕ → E →L[𝕜] 𝕜) (c : ℕ → ℝ),
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