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Proof step 15 from proof addclass-exactarray (previous step)

⊦ r = jvmref, exactreftype(refval(r), mkarraytype(ty), addclass(class0, fis, st)) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(i) ∈ addclass(class0, fis, st) ∧ is_arrayref(refval(r) .refval, i, addclass(class0, fis, st)) ↔ exactarray(refval(r), ty, i, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
r ≠ jvmref ⊦ (addclass(class1, fis, st)[r -- sk]) = st[r -- sk]
Proof step 3:
⊦ is_arrayref(r, i, addclass(class1, fis, st)) ↔ is_arrayref(r, i, st)
Proof step 14:
⊦ r = jvmref, exactreftype(refval(r), mkarraytype(ty), addclass(class0, fis, st)) ∧ r -- _length ∈ addclass(class0, fis, st) ∧ st[r -- _length] = intval(i) ∧ is_arrayref(r, i, st) ↔ exactarray(refval(r), ty, i, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val], [CSIMPSEQ : ⊦ refval(r) .refval = r])]]