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Proof step 5 from proof hasSharing-dd-help (previous step)

validrefs(str, (r1 ' + refs0) .last ', st[(r1 ' + refs0) .last -- _type] .type, st), validrefs(str, r1 ' + refs0, st[r1 -- _type] .type, st), path∃(str, r, (r1 ' + refs0) .last, st), path∃(str, r, r1, st) ⊦ (r1 ' + refs0) .last = r1, (r1 ' + refs0) .last = jvmref, hasSharing(r, st), path∃(str, r1, (r1 ' + refs0) .last, st), path∃(str, (r1 ' + refs0) .last, r1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ refs ≠ [] → (r ' + refs) .last = refs .last
Proof step 4:
refs0 ≠ [], validrefs(str, refs0 .last ', st[refs0 .last -- _type] .type, st), validrefs(str, r1 ' + refs0, st[r1 -- _type] .type, st), path∃(str, r, refs0 .last, st), path∃(str, r, r1, st) ⊦ refs0 .last = r1, refs0 .last = jvmref, hasSharing(r, st), path∃(str, r1, refs0 .last, st), path∃(str, refs0 .last, r1, st)

Rule argument

[speclemmaarg: ,refs ≠ [] → (r ' + refs) .last = refs .last ,[refs, r] → [refs0, r1] ,F ,list-last ,references ,l-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' .last = r])], [EXTRATERMS : (refs0, r1)]]