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Proof step 47 from proof same-subclasses-array-forward (previous step)

st[r -- i '] = refval(r0), st[r0 -- _type] .type .jtelemtype .class ≤ st[r -- _type] .type .jtelemtype .class, st[r0 -- _type] .type .jtelemtype ≤ st[r -- _type] .type .jtelemtype, is_array(str, r, st), same-subclasses(st[r -- _type] .type .jtelemtype .class, str, str0), i < st[r -- _length] .intval, has_classtype(st[r0 -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, has_classtype(st[r -- _type] .type), contains(str0, st[r0 -- _type] .type .jtelemtype, mkclasstype(class)), is_valid_ref(str0, r, st) ⊦ r0 = jvmref, st[r -- _type] .type .jtelemtype = mkclasstype(`java.lang.Object' .class), r = jvmref, junkref(str0, r, st), same-subclasses(class, str, str0), type∃(str0, st[r -- _type] .type .jtelemtype)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , ¬ type∃(str, st[r -- _type] .type) ∧ r ≠ jvmref → ¬ is_valid_ref(str, r, st) ,[st, r, str] → [st, r, str0] ,F ,addfuns , ,is_valid_ref-typeex ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str0)]]