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Proof step 12 from proof ac-okarrays (previous step)

sk .fs = mkfs(class0, ty, fieldvar), sk × val ∈ fis, 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)), ∀ 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, is_integervalue(val) ∧ ¬ is_indexkey(sk) ∧ is_arraytype(ty) ∧ okarray(st[r -- sk], ty .type, val .intval, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
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)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ is_fskey(sk)])]]