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Proof step 15 from proof validrefs-primarray (previous step)

st[r -- _type] .type = mkarraytype(ty0), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, okarray(r, ty, st), ty0 ≤ ty, is_array(str, r, st), is_primtype(ty), 0 < st[r -- _length] .intval, 0 ≤ i, r ∈ st, validrefs(str, st[r -- i '] .refval ' + refs, ty0, st) ⊦ r = jvmref, r ' + st[r -- i '] .refval ' + refs = jvmref '

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 14:
st[r -- i '] = refval(r0), st[r -- _type] .type = mkarraytype(ty0), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, okarray(r, ty, st), ty0 ≤ ty, is_array(str, r, st), is_primtype(ty), 0 < st[r -- _length] .intval, 0 ≤ i, r ∈ st, validrefs(str, r0 ' + refs, ty0, st) ⊦ r = jvmref, r ' + r0 ' + refs = jvmref '

Rule argument

[speclemmaarg: ,is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) ,[val, r] → [st[r -- i '], r0] ,T ,javavalue , ,elim-13 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- i '], r0)]]