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Definition p:=O.
Definition m:=O.
Module Test_Import.
Module P.
Definition p:=(S O).
End P.
Module M.
Import P.
Definition m:=p.
End M.
Module N.
Import M.
Lemma th0 : p=O.
Reflexivity.
Qed.
End N.
(* M and P should be closed *)
Lemma th1 : m=O /\ p=O.
Split; Reflexivity.
Qed.
Import N.
(* M and P should still be closed *)
Lemma th2 : m=O /\ p=O.
Split; Reflexivity.
Qed.
End Test_Import.
(********************************************************************)
Module Test_Export.
Module P.
Definition p:=(S O).
End P.
Module M.
Export P.
Definition m:=p.
End M.
Module N.
Export M.
Lemma th0 : p=(S O).
Reflexivity.
Qed.
End N.
(* M and P should be closed *)
Lemma th1 : m=O /\ p=O.
Split; Reflexivity.
Qed.
Import N.
(* M and P should now be opened *)
Lemma th2 : m=(S O) /\ p=(S O).
Split; Reflexivity.
Qed.
End Test_Export.
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