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Proof step 24 from proof ac-okarrays (previous step)

⊦ r = jvmref, (∀ 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))) ↔ (∀ sk, val. sk × val ∈ fis → is_integervalue(val) ∧ ¬ is_indexkey(sk) ∧ is_arraytype(sk .fs .type) ∧ okarray(st[r -- sk], sk .fs .type .type, val .intval, st))

User applied rule case distinction

And obtained the following new goals

Proof step 15:
∀ 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)) ⊦ ∀ sk, val. sk × val ∈ fis → is_integervalue(val) ∧ ¬ is_indexkey(sk) ∧ is_arraytype(sk .fs .type) ∧ okarray(st[r -- sk], sk .fs .type .type, val .intval, st), r = jvmref
Proof step 23:
∀ sk, val. sk × val ∈ fis → is_integervalue(val) ∧ ¬ is_indexkey(sk) ∧ is_arraytype(sk .fs .type) ∧ okarray(st[r -- sk], sk .fs .type .type, val .intval, 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

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]