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+Fail Fixpoint le_pred (n1 n2 : nat) (H1 : n1 <= n2) : pred n1 <= pred n2 :=
+ match H1 with
+ | le_n => le_n (pred _)
+ | le_S _ H2 =>
+ match n2 with
+ | 0 => fun H3 => H3
+ | S _ => le_S _ _
+ end (le_pred _ _ H2)
+ end.