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Proof step 77 from proof junkref-subspec-samesubclasses (previous step)

same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), junkrefs(str, r ' + refs0, st[r -- _type] .type, st), is_array(str0, r, st), has_classtype(st[r -- _type] .type), ∀ str0, str, r, st, refs. # refs < # refs0 → ( same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r ' + refs, st[r -- _type] .type, st) → junkref(str0, r, st)) ⊦ r = jvmref, junkref(str0, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( junkrefs(str, r ' + refs, ty, st) ↔ refs ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ refs .first = st[r -- i '] .refval ∧ junkrefs(str, refs, st[r -- _type] .type .type, st))) ,[st, ty, refs, r, str] → [st, st[r -- _type] .type, refs0, r, str] ,F ,junkrefs , ,junkrefs-array ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- _type] .type, refs0, r, str)]]