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unsimp
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Mathlib/Data/Finite/Defs.lean

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@@ -215,9 +215,7 @@ theorem not_infinite {s : Set α} : ¬s.Infinite ↔ s.Finite :=
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alias ⟨_, Finite.not_infinite⟩ := not_infinite
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@[simp] lemma Infinite.not_finite {s : Set α} (hs : s.Infinite) : ¬ s.Finite := hs
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attribute [simp] Finite.not_infinite
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lemma Infinite.not_finite {s : Set α} (hs : s.Infinite) : ¬ s.Finite := hs
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/-- See also `finite_or_infinite`, `fintypeOrInfinite`. -/
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protected theorem finite_or_infinite (s : Set α) : s.Finite ∨ s.Infinite :=

Mathlib/Data/Set/Countable.lean

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@@ -339,9 +339,7 @@ theorem not_uncountable_iff_countable {s : Set α} : ¬s.Uncountable ↔ s.Count
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alias ⟨_, Countable.not_uncountable⟩ := not_uncountable_iff_countable
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@[simp] lemma Uncountable.not_countable {s : Set α} (hs : s.Uncountable) : ¬ s.Countable := hs
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attribute [simp] Countable.not_uncountable
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lemma Uncountable.not_countable {s : Set α} (hs : s.Uncountable) : ¬ s.Countable := hs
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theorem uncountable_coe_iff {s : Set α} : Uncountable s ↔ s.Uncountable :=
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not_countable_iff.symm.trans countable_coe_iff.not

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