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Proof step 23 from proof isobj-addobj-04 (previous step)

fis .keys = instfields(class), mkfs(class0, ty, fieldvar) ' ∈ fis, validfieldinits(fis, st), mkfs(class0, ty, fieldvar) ' ∈ instfields(class) ⊦ r = jvmref, okval(fis[mkfs(class0, ty, fieldvar) '], ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 20:
⊦ validfieldinits(fis, st) ↔ (∀ sk, val. sk × val ∈ fis → is_fskey(sk) ∧ oktype(val, sk .fs .type, st) ∧ ( is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ sk .fs .type))
Proof step 22:
fis .keys = instfields(class), mkfs(class0, ty, fieldvar) ' ∈ fis, ∀ sk, val. sk × val ∈ fis → is_fskey(sk) ∧ oktype(val, sk .fs .type, st) ∧ ( is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ sk .fs .type), mkfs(class0, ty, fieldvar) ' ∈ instfields(class) ⊦ r = jvmref, okval(fis[mkfs(class0, ty, fieldvar) '], ty)

Rule argument

[crewrite-arg: validfieldinits-all, F, [st, fis] → [st, fis]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis)]]