following is the one I'm having trouble with.
Lemma sum_asc_dec_eq : forall k1 n , addmem_list( k1) = n -> addmem_list( sort_des k1) = n -> addmem_list( sort_asc k1)=n . Proof. intros . induction k1 . + simpl; auto. + simpl in *. induction n . - simpl. Abort.
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