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(* Coq theorems, etc can be named at the top .... *)
Theorem and_comms: forall (A B:Prop),(A /\ B) -> (B /\ A).
intros A B H.
induction H.
apply conj.
assumption.
assumption.
Qed.
(* at the bottom... *)
Goal forall (A B:Prop),(A /\ B) -> (B /\ A).
intros A B H.
induction H.
apply conj.
assumption.
assumption.
Save and_comms2.
(* or not at all! *)
(* Coq calls this "Unamed_thm", so must forget it like any other *)
(* test: do, undo, then check shell buffer to see "Reset Unnamed_thm" *)
Goal forall (A B:Prop),(A /\ B) -> (B /\ A).
intros A B H.
induction H.
apply conj.
assumption.
assumption.
Save.
(* Odd side effect: two unnamed theorems in a row are not possible!
Latest: with Coq 8.2, we get Unamed_thm0, Unamed_thm1, ... *)
Goal forall (A B:Prop),(A /\ B) -> (B /\ A).
intros A B H.
induction H.
apply conj.
assumption.
assumption.
Save.
(* TESTING: notice output window behaviour here with different settings:
exact output displayed also depends on how many steps are issued
at once.
*)
Goal forall (A B:Prop),(A /\ B) -> (B /\ A).
tauto.
Save.
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