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@ -314,18 +314,10 @@ Proof.
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= map snd (filter fst (combine (repeat false (length u)) u))).
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= map snd (filter fst (combine (repeat false (length u)) u))).
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intro u. induction u. reflexivity. simpl. assumption. apply H0.
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intro u. induction u. reflexivity. simpl. assumption. apply H0.
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exists (a::l). exists (nil). simpl. split; try rewrite app_nil_r; reflexivity.
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exists (a::l). exists (nil). simpl. split; try rewrite app_nil_r; reflexivity.
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(* deux cas : a = n ou non *)
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(* deux cas : a = n ou non *)
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assert ({a=T} + {a<>T}). apply I. destruct H.
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assert ({a=T} + {a<>T}). apply I. destruct H.
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rewrite e. rewrite subsequence2_cons_eq. rewrite <- IHl.
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rewrite e. rewrite subsequence2_cons_eq. rewrite <- IHl.
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rewrite subsequence_cons_eq. split; intro; assumption.
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destruct H. destruct H. destruct H.
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assert (x0 = nil). symmetry in H. apply length_zero_iff_nil in H.
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assumption. rewrite H1 in H0. simpl in H0.
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