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Proof step 3 from proof validfieldinits-one-01 (previous step)

r = jvmref ∨ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ st[r -- _type] .type ≤ mkclasstype(class0) ⊦ validfieldinits((mkfs(class, mkclasstype(class0), fieldvar) ' × refval(r)) ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validfieldinits((sk × val) ', st) ↔ 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)

Rule argument

[crewrite-arg: validfieldinits-one , F , [st, val, sk] → [st, refval(r), mkfs(class, mkclasstype(class0), fieldvar) '] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ oktype (val, mkclasstype(class1), st) ↔ is_referencevalue(val)], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r])], [EXTRATERMS : (st, refval(r), mkfs(class, mkclasstype(class0), fieldvar) ')]]