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Proof step 14 from proof okarrays-put (previous step)

sk .fs = mkfs(class, ty, fieldvar), oktype(val, ty, st), goodfieldandtype(r0, sk, st), is_arraytype(sk0 .fs .type), ∀ sk, class, ty, fieldvar, val, st, r0, r. sk .fs = mkfs(class, ty, fieldvar) ∧ oktype(val, ty, st) ∧ goodfieldandtype(r0, sk, st) → sk = _type ∨ sk = _length ∨ (okarrays(r, fis0, st[r0 -- sk, val]) ↔ okarrays(r, fis0, st)) ∨ sk ∈ fis0 ⊦ sk = sk0, sk = _type, sk = _length, okarrays(r, fis0, st[r0 -- sk, val]) ∧ okarray(st[r -- sk0], sk0 .fs .type .type, i, st[r0 -- sk, val]) ∧ is_fskey(sk0) ↔ okarray(st[r -- sk0], sk0 .fs .type .type, i, st) ∧ okarrays(r, fis0, st) ∧ ¬ is_indexkey(sk0), sk ∈ fis0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 13:
sk0 .fs .type = mkarraytype(ty0), sk .fs = mkfs(class, ty, fieldvar), oktype(val, ty, st), goodfieldandtype(r0, sk, st), is_arraytype(sk0 .fs .type), ∀ sk, class, ty, fieldvar, val, st, r0, r. sk .fs = mkfs(class, ty, fieldvar) ∧ oktype(val, ty, st) ∧ goodfieldandtype(r0, sk, st) → sk = _type ∨ sk = _length ∨ (okarrays(r, fis0, st[r0 -- sk, val]) ↔ okarrays(r, fis0, st)) ∨ sk ∈ fis0 ⊦ sk = sk0, sk = _type, sk = _length, okarrays(r, fis0, st[r0 -- sk, val]) ∧ okarray(st[r -- sk0], ty0, i, st[r0 -- sk, val]) ∧ is_fskey(sk0) ↔ okarray(st[r -- sk0], ty0, i, st) ∧ okarrays(r, fis0, st) ∧ ¬ is_indexkey(sk0), sk ∈ fis0

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [sk0 .fs .type, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (sk0 .fs .type, ty0)]]