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Proof step 36 from proof validrefs-del-junkrefs (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( validrefs(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 ∧ validrefs(str, refs, st[r -- _type] .type .type, st)))
Proof step 35:
is_array(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, st[r0 -- i '] = refval(r), st[r0 -- _type] .type ≤ ty, is_array(str, r0, st), i < st[r0 -- _length] .intval, junkrefs(str, r ', st[r0 -- _type] .type .type, st -- r), 0 ≤ i, 0 < st[r0 -- _length] .intval ⊦ r0 = jvmref, r = r0, r ' = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r0 -- _length] .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ r ' .first = st[r0 -- i '] .refval ∧ validrefs(str, r ', st[r0 -- _type] .type .type, st)), junkref(str, r0, st)

Rule argument

[crewrite-arg: validrefs-array , F , [st, ty, refs, r, str] → [st, ty, r ', r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r ', r0, str)]]