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Proof step 88 from proof compat-addobj (previous step)

jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, initdone(class0, st), is_predefined_class(class), newref(r, st), compatmode(str, st), compatrefs(str, st), mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), jvmref ∈ st, compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st), class∃(str, class0) ∨ interface∃(str, class0), ∀ sk. sk ∈ statfields(class0) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st) ⊦ compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st[r -- _type, typeval(mkclasstype(class))])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 74:
⊦ ¬ is_referencevalue(val) → (compat(str, val, ty, st) ↔ okval(val, ty))
Proof step 86:
¬ ¬ is_referencevalue(st[jvmref -- mkfs(class1, ty, fieldvar) ']), jvmref -- mkfs(class1, ty, fieldvar) ' ∈ st, initdone(class0, st), is_predefined_class(class), newref(r, st), compatmode(str, st), compatrefs(str, st), mkfs(class1, ty, fieldvar) ' ∈ statfields(class0), jvmref ∈ st, compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st), class∃(str, class0) ∨ interface∃(str, class0), ∀ sk. sk ∈ statfields(class0) → jvmref -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[jvmref -- sk], sk .fs .type, st) ⊦ compat(str, st[jvmref -- mkfs(class1, ty, fieldvar) '], ty, st[r -- _type, typeval(mkclasstype(class))])
Proof step 87:
⊦ ¬ is_referencevalue(val) → (compat(str, val, ty, st) ↔ okval(val, ty))

Rule argument

[crewrite-arg: compatval-noref , F , [st, ty, val, str] → [st[r -- _type, typeval(mkclasstype(class))], ty, st[jvmref -- mkfs(class1, ty, fieldvar) '], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- _type, typeval(mkclasstype(class))], ty, st[jvmref -- mkfs(class1, ty, fieldvar) '], str)]]