@@ -294,7 +294,7 @@ theorem succ_le_succ (h : a ≤ b) : succ a ≤ succ b := by
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theorem succ_mono : Monotone (succ : α → α) := fun _ _ => succ_le_succ
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#align order.succ_mono Order.succ_mono
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- /-- See also `Order.succ_eq_of_wcovBy `. -/
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+ /-- See also `Order.succ_eq_of_covBy `. -/
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lemma le_succ_of_wcovBy (h : a ⩿ b) : b ≤ succ a := by
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obtain hab | ⟨-, hba⟩ := h.covBy_or_le_and_le
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· by_contra hba
@@ -452,9 +452,9 @@ theorem le_le_succ_iff : a ≤ b ∧ b ≤ succ a ↔ b = a ∨ b = succ a := by
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#align order.le_le_succ_iff Order.le_le_succ_iff
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/-- See also `Order.le_succ_of_wcovBy`. -/
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- lemma succ_eq_of_wcovBy (h : a ⋖ b) : succ a = b := (succ_le_of_lt h.lt).antisymm h.wcovBy.le_succ
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+ lemma succ_eq_of_covBy (h : a ⋖ b) : succ a = b := (succ_le_of_lt h.lt).antisymm h.wcovBy.le_succ
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- alias _root_.CovBy.succ_eq := succ_eq_of_wcovBy
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+ alias _root_.CovBy.succ_eq := succ_eq_of_covBy
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#align covby.succ_eq CovBy.succ_eq
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theorem le_succ_iff_eq_or_le : a ≤ succ b ↔ a = succ b ∨ a ≤ b := by
@@ -686,7 +686,7 @@ theorem pred_le_pred {a b : α} (h : a ≤ b) : pred a ≤ pred b :=
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theorem pred_mono : Monotone (pred : α → α) := fun _ _ => pred_le_pred
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#align order.pred_mono Order.pred_mono
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- /-- See also `Order.pred_eq_of_wcovBy `. -/
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+ /-- See also `Order.pred_eq_of_covBy `. -/
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lemma pred_le_of_wcovBy (h : a ⩿ b) : pred b ≤ a := by
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obtain hab | ⟨-, hba⟩ := h.covBy_or_le_and_le
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· by_contra hba
@@ -834,9 +834,9 @@ theorem pred_le_le_iff {a b : α} : pred a ≤ b ∧ b ≤ a ↔ b = a ∨ b = p
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#align order.pred_le_le_iff Order.pred_le_le_iff
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/-- See also `Order.pred_le_of_wcovBy`. -/
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- lemma pred_eq_of_wcovBy (h : a ⋖ b) : pred b = a := h.wcovBy.pred_le.antisymm (le_pred_of_lt h.lt)
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+ lemma pred_eq_of_covBy (h : a ⋖ b) : pred b = a := h.wcovBy.pred_le.antisymm (le_pred_of_lt h.lt)
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- alias _root_.CovBy.pred_eq := pred_eq_of_wcovBy
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+ alias _root_.CovBy.pred_eq := pred_eq_of_covBy
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#align covby.pred_eq CovBy.pred_eq
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theorem pred_le_iff_eq_or_le : pred a ≤ b ↔ b = pred a ∨ a ≤ b := by
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