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Proof step 14 from proof isarray-addarray-01 (previous step)

st[r1 -- _type] = typeval(mkarraytype(ty0)), st[r1 -- _length] = intval(i), 0 ≤ i, is_arrayref(r1, i, st), r1 -- _length ∈ st, okreftype(refval(r1), mkarraytype(ty0), st), r1 -- _type ∈ st, r1 ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r1 -- j '], ty0, addarray(r0, ty, vals, st)) ⊦ r1 = jvmref, r1 = r0, okreftype(refval(r1), mkarraytype(ty0), st) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ st ∧ is_integervalue(st[r1 -- _length]) ∧ 0 ≤ st[r1 -- _length] .intval ∧ is_arrayref(r1, st[r1 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r1 -- _length] .intval → oktype(st[r1 -- j '], ty0, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r1 -- _length] = intval(i), st[r1 -- _type] = typeval(mkarraytype(ty0)), r1 ∈ st, r1 -- _type ∈ st, okreftype(refval(r1), mkarraytype(ty0), st), r1 -- _length ∈ st, is_arrayref(r1, i, st), 0 ≤ i, j < i, 0 ≤ j, 0 < i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r1 -- j '], ty0, addarray(r0, ty, vals, st)) ⊦ r1 = r0, r1 = jvmref, oktype(st[r1 -- j '], ty0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ intval(i) .intval = i], [CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]