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Proof step 26 from proof okarray-putba (previous step)

⊦ r = r0, r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_arraytype(st[r0 -- _type] .type) ∧ st[r0 -- _type] .type .type ≤ ty ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ st[r0 -- _length] = intval(i) ∧ 0 ≤ i ∧ is_arrayref(r0, i, putByteArray(bytes, r, i1, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty)) ↔ okreftype(refval(r0), mkarraytype(ty), st) ∧ refval(r0) .refval ≠ jvmref ∧ (refval(r0) .refval -- _length) × intval(i) ∈ st ∧ 0 ≤ i ∧ is_arrayref(refval(r0) .refval, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st[refval(r0) .refval -- j '], ty, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ oktype(val, ty, st) ↔ okval(val, ty)
Proof step 25:
st[r0 -- _length] = intval(i), r0 -- _length ∈ st, 0 ≤ i, r0 ∈ st ⊦ r0 = jvmref, r = r0, r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_arraytype(st[r0 -- _type] .type) ∧ st[r0 -- _type] .type .type ≤ ty ∧ is_arrayref(r0, i, putByteArray(bytes, r, i1, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty)) ↔ okreftype(refval(r0), mkarraytype(ty), st) ∧ is_arrayref(r0, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → okval(st[r0 -- j '], ty))

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])]]