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Definition p := 0.
Definition m := 0.
Module Test_Import.
Module P.
Definition p := 1.
End P.
Module M.
Import P.
Definition m := p.
End M.
Module N.
Import M.
Lemma th0 : p = 0.
reflexivity.
Qed.
End N.
(* M and P should be closed *)
Lemma th1 : m = 0 /\ p = 0.
split; reflexivity.
Qed.
Import N.
(* M and P should still be closed *)
Lemma th2 : m = 0 /\ p = 0.
split; reflexivity.
Qed.
End Test_Import.
(********************************************************************)
Module Test_Export.
Module P.
Definition p := 1.
End P.
Module M.
Export P.
Definition m := p.
End M.
Module N.
Export M.
Lemma th0 : p = 1.
reflexivity.
Qed.
End N.
(* M and P should be closed *)
Lemma th1 : m = 0 /\ p = 0.
split; reflexivity.
Qed.
Import N.
(* M and P should now be opened *)
Lemma th2 : m = 1 /\ p = 1.
split; reflexivity.
Qed.
End Test_Export.
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