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Proof step 9 from proof junkrefs-one (previous step)

is_array(str, r, st), st[r -- _type] .type ≤ ty, junkrefs(str, r ', ty, st) ⊦ r = jvmref

User applied rule insert lemma

And obtained the following new goals

Proof step 8:
⊦ 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)))

Rule argument

[LEMMAARG : junkrefs-array, [r, st, ty, str, refs] → [r, st, ty, str, []]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (r, st, ty, str, [])]]