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Proof step 35 from proof validrefs-put-badarrayfield (previous step)

st[r -- _type] .type = mkarraytype(ty0), validrefs(str, st[r -- i '] .refval ' + refs, ty0, st[r0 -- fs ', val]), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, mkarraytype(ty0) ≤ ty, is_array(str, r, st), is_arraytype(st[r0 -- _type] .type), junkref(str, st[r -- i '] .refval, st), 0 < st[r -- _length] .intval, 0 ≤ i ⊦ r = jvmref, fs ' = _length, fs ' = _type, validrefs(str, st[r -- i '] .refval ' + refs, ty0, st), r ∈ (st[r -- i '] .refval ' + refs) .butlast, dups((st[r -- i '] .refval ' + refs) .butlast), junkref(str, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 34:
st[r -- i '] = refval(r1), st[r -- _type] .type = mkarraytype(ty0), validrefs(str, r1 ' + refs, ty0, st[r0 -- fs ', val]), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, mkarraytype(ty0) ≤ ty, is_array(str, r, st), is_arraytype(st[r0 -- _type] .type), junkref(str, r1, st), 0 < st[r -- _length] .intval, 0 ≤ i ⊦ r = jvmref, fs ' = _length, fs ' = _type, validrefs(str, r1 ' + refs, ty0, st), r ∈ (r1 ' + refs) .butlast, dups((r1 ' + refs) .butlast), junkref(str, r, st)

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- i '], r1] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- i '], r1)]]