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  1. Theorem disjoint__app_NoDup :
  2. forall (X : Type) (l1 l2 : list X) (default:X),
  3. disjoint X l1 l2 default ->
  4. NoDup X (l1 ++ l2) default.
  5. Proof.
  6. intros. induction H eqn:caseEqn.
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