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Proof step 15 from proof okarray-substore (previous step)

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

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 19, [extquanttermlist: (rk)abort:F, discard:F, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (rk)]]