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Update Aleph.lean
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Mathlib/SetTheory/Cardinal/Aleph.lean

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@@ -598,9 +598,9 @@ theorem lift_preBeth (o : Ordinal) : lift.{v} (preBeth o) = preBeth (Ordinal.lif
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constructor <;> rintro ⟨⟨i, hi⟩, rfl⟩
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· refine ⟨⟨i.lift, ?_⟩, (IH _ hi).symm⟩
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simpa
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· obtain ⟨j, rfl⟩ := Ordinal.mem_range_lift_of_le hi.le
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· obtain ⟨i, rfl⟩ := Ordinal.mem_range_lift_of_le hi.le
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rw [mem_Iio, Ordinal.lift_lt] at hi
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exact ⟨⟨j, hi⟩, IH _ hi⟩
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exact ⟨⟨i, hi⟩, IH _ hi⟩
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/-- The Beth function is defined so that `beth 0 = ℵ₀'`, `beth (succ o) = 2 ^ beth o`, and that for
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a limit ordinal `o`, `beth o` is the supremum of `beth a` for `a < o`.

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