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Proof step 39 from proof validrefs-putshort-field (previous step)

is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']), is_array(str, r0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), st[r0 -- _type] .type ≤ ty, refs1 = [] ∨ 0 ≤ i ∧ i < (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- _length]) .intval ∧ is_referencevalue(st[r0 -- i ']) ∧ refs1 .first = st[r0 -- i '] .refval ∧ validrefs(str, refs1, st[r0 -- _type] .type .type, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]), ∀ sho, fieldvar, class, r, st, ty, str, refs. # refs < # (r0 + refs1) → ( 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, junkref(str, r0, st), validrefs(str, r0 ' + refs1, ty, st)

User applied rule case distinction

And obtained the following new goals

Rule argument

[CASEDARG : pos: left 4, ()]

Additional information

[[CONCRETESIMPRULES : ()]]