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authorGravatar David Aspinall <da@inf.ed.ac.uk>2002-09-11 15:07:16 +0000
committerGravatar David Aspinall <da@inf.ed.ac.uk>2002-09-11 15:07:16 +0000
commit348a98f9572bf54a9ee97e543cb9a0f07c6a5cc4 (patch)
tree9a53cbaef320a9ce86e7df2cc8c2cd6462a2d847 /etc
parent879c174f584069404737db54eb0527e2f142f7c1 (diff)
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+(* Coq theorems, etc can be named at the top .... *)
+
+Theorem and_comms: (A,B:Prop)(A /\ B) -> (B /\ A).
+ Intros A B H.
+ Induction H.
+ Apply conj.
+ Assumption.
+ Assumption.
+Qed.
+
+(* at the bottom... *)
+
+Goal (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 (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! *)
+
+(* TESTING: notice output window behaviour here with different settings:
+ exact output displayed also depends on how many steps are issued
+ at once.
+*)
+
+Goal (A,B:Prop)(and A B) -> (and B A).
+Intros A B H.
+Induction H.
+Apply conj.
+Assumption.
+Assumption.
+Save.
+
+
+