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Proof step 35 from proof junkref-array (previous step)

st[r -- i '] = refval(r0), st[r0 -- _type] .type ≤ st[r -- _type] .type .type, 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval, is_array(str, r, st), junkrefs(str, r0 ' + refs0, st[r0 -- _type] .type, st) ⊦ r0 = jvmref, junkrefs(str, r ' + r0 ' + refs0, st[r -- _type] .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 31:
⊦ 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)))
Proof step 34:
is_array(str, r, st) ∧ st[r -- _type] .type ≤ st[r -- _type] .type, st[r -- i '] = refval(r0), st[r0 -- _type] .type ≤ st[r -- _type] .type .type, 0 < st[r -- _length] .intval, 0 ≤ i, i < st[r -- _length] .intval, is_array(str, r, st), junkrefs(str, r0 ' + refs0, st[r0 -- _type] .type, st) ⊦ r0 = jvmref, r0 ' + refs0 ≠ [] ∧ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ (r0 ' + refs0) .first = st[r -- i '] .refval ∧ junkrefs(str, r0 ' + refs0, st[r -- _type] .type .type, st))

Rule argument

[crewrite-arg: junkrefs-array , F , [st, ty, refs, r, str] → [st, st[r -- _type] .type, r0 ' + refs0, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ ty])], [EXTRATERMS : (st, st[r -- _type] .type, r0 ' + refs0, r, str)]]