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Proof step 21 from proof validstatfield-subspec-samesubclasses (previous step)

same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str0, class), initdone(class, st), validfield(str0, jvmref, mkfs(class, ty, fieldvar) ', st) ⊦ ty = void_type, (is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st)) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 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 20:
same-subclasses-contains(ty .jtelemtype .class, str, str0), type∃(str, ty), tdname∃(str, class), mkfs(class, ty, fieldvar) ' ∈ statfields(class), tdname∃(str0, class), initdone(class, st), goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st) ∧ type∃(str0, mkfs(class, ty, fieldvar) ' .fs .type) ∧ mkfs(class, ty, fieldvar) ' .fs .type ≠ void_type ∧ ( is_reftype(mkfs(class, ty, fieldvar) ' .fs .type) → validrefval(str0, st[jvmref -- mkfs(class, ty, fieldvar) '], mkfs(class, ty, fieldvar) ' .fs .type, st)) ⊦ ty = void_type, (is_reftype(ty) → validrefval(str, st[jvmref -- mkfs(class, ty, fieldvar) '], ty, st)) ∧ goodfieldandtype(jvmref, mkfs(class, ty, fieldvar) ', st)

Rule argument

[speclemmaarg: , 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)) ,[st, sk, r, str] → [st, mkfs(class, ty, fieldvar) ', jvmref, str0] ,F ,junkrefs , ,validfield-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkfs(class, ty, fieldvar) ', jvmref, str0)]]