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Proof step 13 from proof validfield-put-statfield (previous step)

r ≠ jvmref ∨ sk ≠ sk0 ⊦ goodfieldandtype(r, sk0, st[jvmref -- sk, val]) ∧ type∃(str, sk0 .fs .type) ∧ sk0 .fs .type ≠ void_type ∧ (is_reftype(sk0 .fs .type) → validrefval(str, st[jvmref -- sk, val][r -- sk0], sk0 .fs .type, st)) ↔ validfield(str, r, sk0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
sk0 .fs = mkfs(class, ty, fieldvar), r ≠ jvmref ∨ sk ≠ sk0 ⊦ goodfieldandtype(r, sk0, st[jvmref -- sk, val]) ∧ type∃(str, ty) ∧ ty ≠ void_type ∧ (is_reftype(ty) → validrefval(str, st[jvmref -- sk, val][r -- sk0], ty, st)) ↔ validfield(str, r, sk0, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [sk0 .fs, class, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk0 .fs, class, ty, fieldvar)]]