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Proof step 8 from proof junkref-array (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ junkref(str, r, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(str, refs, st[r -- _type] .type, st))
Proof step 7:
st[r -- i '] = refval(r0), 0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), i < st[r -- _length] .intval, junkrefs(str, r0 ' + refs, st[r -- _type] .type .type, st), st[r0 -- _type] .type ≤ st[r -- _type] .type .type ⊦ r0 = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r0 ∧ junkrefs(str, refs, st[r0 -- _type] .type, st)

Rule argument

[crewrite-arg: junkref-def, F, [st, r, str] → [st, r0, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, str)]]