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Proof step 23 from proof unchNorec-isarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), st0[r -- _length] = intval(i0), 0 ≤ i0, r -- _length ∈ st0, r ∈ st, r -- _length ∈ st, is_arrayref(r, i0, st), r -- _type ∈ st, unchangedNorec(r, st, st0), r -- _type ∈ st0, r ∈ st0, ∀ i. ¬ i < 0 ∧ ¬ i0 ≤ i → st[r -- i '] = st0[r -- i '], ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, (0 ≤ j ∧ j < i0 → okval(st0[r -- j '], ty)) ∧ is_arrayref(r, i0, st0)

User applied rule case distinction

And obtained the following new goals

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]