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Proof step 9 from proof exactarray-put-01 (previous step)

r0 ∈ st, okval(val0, ty0), okval(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0), r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ⊦ mkfs(class, ty0, fieldvar) ' = _type, mkfs(class, ty0, fieldvar) ' = _length, exactarray(val, ty, i, st[r0 -- mkfs(class, ty0, fieldvar) ', val0]) ↔ exactarray(val, ty, i, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 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 8:
r0 ∈ st, okval(val0, ty0), okval(st[r0 -- mkfs(class, ty0, fieldvar) '], ty0), r0 -- mkfs(class, ty0, fieldvar) ' ∈ st ⊦ mkfs(class, ty0, fieldvar) ' = _type, mkfs(class, ty0, fieldvar) ' = _length, exactreftype(val, mkarraytype(ty), st[r0 -- mkfs(class, ty0, fieldvar) ', val0]) ∧ val .refval ≠ jvmref ∧ (val .refval -- _length) × intval(i) ∈ st[r0 -- mkfs(class, ty0, fieldvar) ', val0] ∧ is_arrayref(val .refval, i, st[r0 -- mkfs(class, ty0, fieldvar) ', val0]) ↔ exactarray(val, ty, i, st)

Rule argument

[crewrite-arg: exactarray-01 , F , [st, i, ty, val] → [st[r0 -- mkfs(class, ty0, fieldvar) ', val0], i, ty, val] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- mkfs(class, ty0, fieldvar) ', val0], i, ty, val)]]