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Proof step 18 from proof validrefs-putshort-field (previous step)

st[r0 -- i '] = refval(r1), junkref(str, r1, st), i < (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _length]) .intval, is_array(str, r0, st), 0 < (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _length]) .intval, 0 ≤ i, st[r0 -- _type] .type ≤ ty, is_array(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), validrefs(str, r1 ' + refs0, st[r0 -- _type] .type .type, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), st[r0 -- _length] .intval ≤ i, st[r0 -- _length] .intval < (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _length]) .intval, ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + r1 + refs0) → ( validrefs(str, refs, ty, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∧ is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) → refs = [] ∨ junkref(str, refs .first, st) ∨ validrefs(str, refs, ty, st)) ⊦ r0 = jvmref, r1 = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [r0 -- _length, shortval(sho), r -- mkfs(class, short_type, fieldvar) ', st] ,F ,store ,javastore-ostorea ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ _length ≠ mkfs(class, short_type, fieldvar) '], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])], [EXTRATERMS : (r0 -- _length, shortval(sho), r -- mkfs(class, short_type, fieldvar) ', st)]]