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Proof step 3 from proof exactarray-01-01 (previous step)

exactarray(refval(r), ty, i, st) ⊦ st[r -- _length] .intval = i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ exactarray(val, ty, i, st) ↔ exactreftype(val, mkarraytype(ty), st) ∧ val .refval ≠ jvmref ∧ (val .refval -- _length) × intval(i) ∈ st ∧ is_arrayref(val .refval, i, st)
Proof step 2:
⊦ exactreftype(val, ty, st) ↔ is_referencevalue(val) ∧ val .refval ∈ st ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type = ty)

Rule argument

[crewrite-arg: exactarray-01 , F , [st, i, ty, val] → [st, i, ty, refval(r)] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ intval(i) .intval = i])], [EXTRATERMS : (st, i, ty, refval(r))]]