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Fancier set simplification

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Adam Chlipala 2016-02-23 18:59:50 -05:00
parent 32ad7c8e8e
commit a583e1d0d4
1 changed files with 28 additions and 0 deletions
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28
Frap.v
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@ -43,6 +43,34 @@ Ltac invert0 e := invert e; fail.
Ltac invert1 e := invert0 e || (invert e; []). Ltac invert1 e := invert0 e || (invert e; []).
Ltac invert2 e := invert1 e || (invert e; [|]). Ltac invert2 e := invert1 e || (invert e; [|]).
Ltac maps_neq :=
match goal with
| [ H : ?m1 = ?m2 |- _ ] =>
let rec recur E :=
match E with
| ?E' $+ (?k, _) =>
(apply (f_equal (fun m => m $? k)) in H; simpl in *; autorewrite with core in *; simpl in *; congruence)
|| recur E'
end in
recur m1 || recur m2
end.
Ltac fancy_neq :=
repeat match goal with
| _ => maps_neq
| [ H : _ = _ |- _ ] => invert H
end.
Ltac removeDups :=
match goal with
| [ |- context[constant ?ls] ] =>
someMatch ls;
erewrite (@removeDups_ok _ ls)
by repeat (apply RdNil
|| (apply RdNew; [ simpl; intuition (congruence || solve [ fancy_neq ]) | ])
|| (apply RdDup; [ simpl; intuition congruence | ]))
end.
Ltac simplify := repeat (unifyTails; pose proof I); Ltac simplify := repeat (unifyTails; pose proof I);
repeat match goal with repeat match goal with
| [ H : True |- _ ] => clear H | [ H : True |- _ ] => clear H