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Proof step 11 from proof ac-okarrays (previous step)

sk .fs = mkfs(class0, ty, fieldvar), is_fskey(sk), is_integervalue(val), sk × val ∈ fis, okarray(st[r -- sk], ty .type, val .intval, addclass(class, fis0, st)), is_arraytype(ty), ∀ sk, val. sk × val ∈ fis → is_integervalue(val) ∧ is_fskey(sk) ∧ is_arraytype(sk .fs .type) ∧ okarray(st[r -- sk], sk .fs .type .type, val .intval, addclass(class, fis0, st)) ⊦ r = jvmref, okarray(st[r -- sk], ty .type, val .intval, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
ty = mkarraytype(ty0), sk .fs = mkfs(class0, ty, fieldvar), is_fskey(sk), is_integervalue(val), sk × val ∈ fis, okarray(st[r -- sk], ty0, val .intval, addclass(class, fis0, st)), is_arraytype(ty), ∀ sk, val. sk × val ∈ fis → is_integervalue(val) ∧ is_fskey(sk) ∧ is_arraytype(sk .fs .type) ∧ okarray(st[r -- sk], sk .fs .type .type, val .intval, addclass(class, fis0, st)) ⊦ r = jvmref, okarray(st[r -- sk], ty0, val .intval, st)

Rule argument

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

Additional information

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