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Proof step 29 from proof okarray-union (previous step)

⊦ r -- _type ∈ st0 ∧ is_typevalue(st0[r -- _type]) ∧ is_arraytype(st0[r -- _type] .type) ∧ st0[r -- _type] .type .type ≤ ty ∧ r ≠ jvmref ∧ r -- _length ∈ st0 ∧ st0[r -- _length] = intval(i) ∧ 0 ≤ i ∧ is_arrayref(r, i, st ∪ st0) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st0[r -- j '], ty, st ∪ st0)) ↔ okreftype(refval(r), mkarraytype(ty), st0) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(i) ∈ st0 ∧ 0 ≤ i ∧ is_arrayref(refval(r) .refval, i, st0) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st0[refval(r) .refval -- j '], ty, st0)), r ∈ st .refs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
st0[r -- _length] = intval(i), r -- _length ∈ st0, 0 ≤ i, r ∈ st0 ⊦ r = jvmref, r -- _type ∈ st0 ∧ is_typevalue(st0[r -- _type]) ∧ is_arraytype(st0[r -- _type] .type) ∧ st0[r -- _type] .type .type ≤ ty ∧ is_arrayref(r, i, st ∪ st0) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st0[r -- j '], ty, st ∪ st0)) ↔ okreftype(refval(r), mkarraytype(ty), st0) ∧ is_arrayref(r, i, st0) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st0[r -- j '], ty, st0)), r ∈ st .refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)], [CSIMPSEQ : ⊦ refval(r) .refval = r])]]