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Proof step 32 from proof subset-okarray (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty0)), st0[r -- _length] = intval(i), r ∈ st0, r -- _length ∈ st0, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, ty0 ≤ ty, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → okval(st[r -- j0 '], ty), ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st0) ∧ is_arrayref(r, i, st0) ∧ (0 ≤ j ∧ j < i → okval(st0[r -- j '], ty))

User applied rule all left

And obtained the following new goals

Proof step 31:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty0)), st0[r -- _length] = intval(i), r ∈ st0, r -- _length ∈ st0, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, ty0 ≤ ty, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → okval(st[r -- j0 '], ty), r -- _type ∈ st → r -- _type ∈ st0 ∧ st[r -- _type] = st0[r -- _type], ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st0) ∧ is_arrayref(r, i, st0) ∧ (0 ≤ j ∧ j < i → okval(st0[r -- j '], ty))

Rule argument

[EXRARG : pos: left 13, [extquanttermlist: (r -- _type) abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- _type)]]