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Proof step 19 from proof union-okarray (previous step)

¬ r -- j ' ∈ st, st[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = intval(i), j < i, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, ty0 ≤ ty, r ∈ st, 0 ≤ j, 0 < i, okval(st[r -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, okval((st0 ∪ st)[r -- j '], ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = intval(i), j < i, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, ty0 ≤ ty, r ∈ st, 0 ≤ j, 0 < i, okval(noval, ty), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r -- j ' ∈ st, okval(st0[r -- j '], ty)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ st0 → (st ∪ st0)[rk] = st[rk]], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]])]]