diff options
Diffstat (limited to 'mppa_k1c/abstractbb/AbstractBasicBlocksDef.v')
| -rw-r--r-- | mppa_k1c/abstractbb/AbstractBasicBlocksDef.v | 28 |
1 files changed, 27 insertions, 1 deletions
diff --git a/mppa_k1c/abstractbb/AbstractBasicBlocksDef.v b/mppa_k1c/abstractbb/AbstractBasicBlocksDef.v index 3023ad8a..d1950209 100644 --- a/mppa_k1c/abstractbb/AbstractBasicBlocksDef.v +++ b/mppa_k1c/abstractbb/AbstractBasicBlocksDef.v @@ -211,7 +211,33 @@ Proof. intros; eapply res_eq_trans. eapply alt_bblock_equiv_refl; eauto. eauto. Qed. - + + +Lemma run_app p1: forall m1 p2, + run (p1++p2) m1 = + match run p1 m1 with + | Some m2 => run p2 m2 + | None => None + end. +Proof. + induction p1; simpl; try congruence. + intros; destruct (inst_run _ _ _); simpl; auto. +Qed. + +Lemma run_app_None p1 m1 p2: + run p1 m1 = None -> + run (p1++p2) m1 = None. +Proof. + intro H; rewrite run_app. rewrite H; auto. +Qed. + +Lemma run_app_Some p1 m1 m2 p2: + run p1 m1 = Some m2 -> + run (p1++p2) m1 = run p2 m2. +Proof. + intros H; rewrite run_app. rewrite H; auto. +Qed. + End SEQLANG. End MkSeqLanguage. |