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Proof step 17 from proof okarray-put-07 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
st[r0 -- _length] = intval(i), 0 ≤ i, r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), st[r0 -- _type] .type .type ≤ ty, r0 -- _length ∈ st, is_arrayref(r0, i, st), r0 ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty) ⊦ r0 = jvmref, r = r0, okarray(refval(r0), ty, i, st)

Rule argument

[emptyarg]

Additional information

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