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Feb 27th, 2017
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  1. Lemma q5 : forall n : nat, 2 * somme id n = n * (n + 1).
  2. intros.
  3. induction n.
  4. simpl.
  5. trivial.
  6. simpl.
  7. replace (somme id n + id (S n) + (somme id n + id (S n) + 0)) with (2*(somme id n) + 2*(S n)).
  8. rewrite IHn.
  9. ring.
  10. simpl.
  11. ring_simplify.
  12. rewrite IHn.
  13. simpl.
  14. ring.
  15. Qed.
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