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  • Mathlib/SetTheory/Cardinal/Cofinality

Mathlib/SetTheory/Cardinal/Cofinality/Club.lean

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@@ -148,7 +148,7 @@ protected theorem diag [IsRegularCardinalOrder α] {f : α → Set α} (hα : co
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apply (hf b).isLUB_mem _ ⟨c, _⟩ (ha.inter_Ici_of_mem hc) <;> grind
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isCofinal a := by
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obtain hα | hα := hα.lt_or_gt
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· rw [cof_lt_aleph0_iff, cof_eq_cardinalMk, le_one_iff_subsingleton] at hα
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· rw [Order.cof_lt_aleph0_iff, cof_eq_cardinalMk, le_one_iff_subsingleton] at hα
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use a
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simp
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have : Nonempty α := ⟨a⟩

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