equal
deleted
inserted
replaced
195 have stepA: "snd`set ?step \<subseteq> A" by (rule pres_typeD2) |
195 have stepA: "snd`set ?step \<subseteq> A" by (rule pres_typeD2) |
196 ultimately |
196 ultimately |
197 have "merge c pc ?step (c!Suc pc) = |
197 have "merge c pc ?step (c!Suc pc) = |
198 (if \<forall>(pc',s')\<in>set ?step. pc'\<noteq>pc+1 \<longrightarrow> s' <=_r c!pc' |
198 (if \<forall>(pc',s')\<in>set ?step. pc'\<noteq>pc+1 \<longrightarrow> s' <=_r c!pc' |
199 then map snd [(p',t') \<leftarrow> ?step.p'=pc+1] ++_f c!Suc pc |
199 then map snd [(p',t') \<leftarrow> ?step.p'=pc+1] ++_f c!Suc pc |
200 else \<top>)" unfolding merge_def by (rule lbv.merge_def [OF lbvc.axioms(1), OF lbvc_axioms]) |
200 else \<top>)" unfolding mrg_def by (rule lbv.merge_def [OF lbvc.axioms(1), OF lbvc_axioms]) |
201 moreover { |
201 moreover { |
202 fix pc' s' assume s': "(pc', s') \<in> set ?step" and suc_pc: "pc' \<noteq> pc+1" |
202 fix pc' s' assume s': "(pc', s') \<in> set ?step" and suc_pc: "pc' \<noteq> pc+1" |
203 with less have "s' <=_r \<phi>!pc'" by auto |
203 with less have "s' <=_r \<phi>!pc'" by auto |
204 also |
204 also |
205 from bounded pc s' have "pc' < length \<phi>" by (rule boundedD) |
205 from bounded pc s' have "pc' < length \<phi>" by (rule boundedD) |