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Module M.
Module Type SIG.
Parameter T:Set.
Parameter x:T.
End SIG.
Lemma toto : O=O.
Definition t:=nat.
Trivial.
Save.
Module N:SIG.
Definition T:=nat.
Definition x:=O.
End N.
Module O:=N.
End M.
Definition t:O=O.
Trivial.
Save.
Section toto.
Print M.
End toto.
Module N:=M.
Module R:N.SIG.
Definition T:Set:=nat.
Definition x:T:= O.
Definition foo:nat:=(S O).
End R.
Module Type N'.
Module Type M'.
Declare Module K:N.SIG.
End M'.
Declare Module N''.
Definition T:=nat.
Definition x:=O.
End N''.
Declare Module N':M.SIG. (* no interactive def started *)
Declare Module N''':= N'. (* no interactive def started *)
Declare Module N''''. (* interactive def started *)
Parameter foo:nat.
End N''''. (* interactive def ended *)
End N'.
Lemma titi : O=O.
Trivial.
Module Type K:=N'.
Module N''':=M.
Save.
(* Here is a bug of Coq: *)
Lemma bar:O=O.
Module Type L. (* This should not be allowed by Coq, since the End L. below fails *)
Axiom foo: O=O.
End L. (* fails --> if we go back to Module Type: unsync *)
Module I.
End I.
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