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Proof step 30 from proof junkrefs-put-refval-02 (previous step)

is_array(str, r1, st), junkrefs(str, r1 ' + acc, ty, st[r -- i ', refval(r0)]), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, ∀ st, r0, r, str, ty, i. mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type ∧ junkrefs(str, acc, ty, st[r -- i ', refval(r0)]) → r = jvmref ∨ r0 = jvmref ∨ junkrefs(str, acc, ty, st) ∨ junkref(str, r0, st) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, junkref(str, r0, st), is_array(str, r1, st[r -- i ', refval(r0)]), acc ≠ [] ∧ (∃ i0. ¬ i0 < 0 ∧ ¬ st[r1 -- _length] .intval ≤ i0 ∧ is_referencevalue(st[r1 -- i0 ']) ∧ acc .first = st[r1 -- i0 '] .refval ∧ junkrefs(str, acc, st[r1 -- _type] .type .type, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , r ≠ r0 → (is_array(str, r0, st[r -- sk, val]) ↔ is_array(str, r0, st)) ,[val, sk, r, st, r0, str] → [refval(r0), i ', r, st, r1, str] ,F ,okfuns , ,is_array-put-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (refval(r0), i ', r, st, r1, str)]]