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Proof step 15 from proof validstatfield-throw-predef (previous step)

is_predefined_class(class), newref(r, st), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), tdname∃(str, class0), initdone(class0, st), validfield(str, jvmref, mkfs(class0, ty, fieldvar) ', st) ⊦ r = jvmref, ty = void_type, ( is_reftype(ty) → validrefval (str, addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))][jvmref -- mkfs(class0, ty, fieldvar) '], ty, addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ validfield(str, r, sk, st) ↔ goodfieldandtype(r, sk, st) ∧ type∃(str, sk .fs .type) ∧ sk .fs .type ≠ void_type ∧ (is_reftype(sk .fs .type) → validrefval(str, st[r -- sk], sk .fs .type, st))
Proof step 14:
is_predefined_class(class), newref(r, st), mkfs(class0, ty, fieldvar) ' ∈ statfields(class0), tdname∃(str, class0), initdone(class0, st), goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', st) ∧ type∃(str, mkfs(class0, ty, fieldvar) ' .fs .type) ∧ mkfs(class0, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class0, ty, fieldvar) ' .fs .type) → validrefval(str, st[jvmref -- mkfs(class0, ty, fieldvar) '], mkfs(class0, ty, fieldvar) ' .fs .type, st)) ⊦ r = jvmref, ty = void_type, ( is_reftype(ty) → validrefval (str, addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))][jvmref -- mkfs(class0, ty, fieldvar) '], ty, addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))])) ∧ type∃(str, ty) ∧ goodfieldandtype(jvmref, mkfs(class0, ty, fieldvar) ', st)

Rule argument

[crewrite-arg: validfield-def , F , [st, sk, r, str] → [st, mkfs(class0, ty, fieldvar) ', jvmref, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkfs(class0, ty, fieldvar) ', jvmref, str)]]