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Proof step 25 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(addclass(class, fis0, 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, st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
r ≠ jvmref ⊦ (addclass(class1, fis, st)[r -- sk]) = st[r -- sk]
Proof step 24:
⊦ 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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)])]]