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Proof step 36 from proof okarray-put-07 (previous step)

val = refval(r0), okarray(val, ty, i, st), is_referencevalue(val) ⊦ refval(r) = val, r0 = jvmref, (0 ≤ j ∧ j < i → okval(st[r -- sk, val0][r0 -- j '], ty)) ∧ is_arrayref(r0, i, st[r -- sk, val0]) ∧ ¬ i < 0 ∧ (st[r -- sk, val0][r0 -- _length]) = intval(i) ∧ (r0 = r ∧ _length = sk ∨ r0 -- _length ∈ st) ∧ (st[r -- sk, val0][r0 -- _type]) .type .type ≤ ty ∧ is_arraytype((st[r -- sk, val0][r0 -- _type]) .type) ∧ is_typevalue(st[r -- sk, val0][r0 -- _type]) ∧ (r0 = r ∧ _type = sk ∨ r0 -- _type ∈ st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
⊦ okarray(refval(r), ty, i, st) → (¬ st[r -- _type] .type .type ≤ ty ↔ false)
Proof step 23:
⊦ okarray(refval(r), ty, i, st) → is_typevalue(st[r -- _type])
Proof step 24:
⊦ okarray(refval(r), ty, i, st) → st[r -- _length] .intval = i
Proof step 25:
⊦ okarray(refval(r), ty, i, st) → r ≠ jvmref
Proof step 35:
okarray(refval(r0), ty, st[r0 -- _length] .intval, st) ⊦ r0 = jvmref, r = r0, (0 ≤ j ∧ j < st[r0 -- _length] .intval → okval(st[r0 -- j '], ty)) ∧ is_arrayref(r0, st[r0 -- _length] .intval, st) ∧ ¬ st[r0 -- _length] .intval < 0 ∧ st[r0 -- _length] = intval(st[r0 -- _length] .intval) ∧ r0 -- _length ∈ st ∧ is_arraytype(st[r0 -- _type] .type) ∧ r0 -- _type ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( is_arrayref (r, i, st[r0 -- sk, val0]) ↔ is_arrayref(r, i, st))], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) = refval(r0) ↔ r = r0])]]