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Mathlib/SetTheory/Cardinal/Basic.lean

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@@ -1071,7 +1071,7 @@ theorem powerlt_eq_zero_iff {a b : Cardinal} : a ^< b = 0 ↔ b = 0 := by
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rcases (zero_le a).eq_or_lt with rfl | ha
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· simp [hb.ne', zero_powerlt hb.ne']
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· simp only [hb.ne', iff_false, ← pos_iff_ne_zero]
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rw [← one_le_iff_pos] at hb ⊢
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rw [← Cardinal.one_le_iff_pos] at hb ⊢
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rw [← powerlt_one ha.ne']
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exact powerlt_le_powerlt_left hb
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