| # refs = i→n(countrefs(i ' + ints0)), posints(ints0), 0 < i0, i ≤ i0, 0 < i, ∀ r, st, ty, acc, ints, i, fs, refs0. # refs0 < # refs → ( true → ( fs ' ≠ _type ∧ fs ' ≠ _length ∧ # refs0 = i→n(countrefs(i ' + ints .rest)) ∧ ints ≠ [] ∧ 0 ≤ i ∧ posints(ints) ∧ ¬ 0 ∈ ints .butlast ∧ i ≤ ints .first → (addmultiarrays(refs0, i, acc, ty, ints, st)[r -- fs ']) = st[r -- fs '])) ⊦ ints0 = [], 0 = i0, i = 0, fs ' = _length, fs ' = _type, (addmultiarrays (firstn(# refs - i→n(countrefs(ints0)), refs), i - 1, lastn(i→n(countrefs(ints0)), refs) .first ' + acc, ty, i0 ' + ints0, addmultiarrays(lastn(i→n(countrefs(ints0)), refs), ints0 .first, [], ty, ints0, st)) [r -- fs ' ] ) = st[r -- fs '], 0 ∈ ints0 .butlast |
ints0 = i1 + ints1, # refs = i→n(countrefs(i ' + ints0)), posints(ints0), 0 < i0, i ≤ i0, 0 < i, ∀ r, st, ty, acc, ints, i, fs, refs0. # refs0 < # refs → ( true → ( fs ' ≠ _type ∧ fs ' ≠ _length ∧ # refs0 = i→n(countrefs(i ' + ints .rest)) ∧ ints ≠ [] ∧ 0 ≤ i ∧ posints(ints) ∧ ¬ 0 ∈ ints .butlast ∧ i ≤ ints .first → (addmultiarrays(refs0, i, acc, ty, ints, st)[r -- fs ']) = st[r -- fs '])) ⊦ ints0 = [], 0 = i0, i = 0, fs ' = _length, fs ' = _type, (addmultiarrays (firstn(# refs - i→n(countrefs(ints0)), refs), i - 1, lastn(i→n(countrefs(ints0)), refs) .first ' + acc, ty, i0 ' + ints0, addmultiarrays(lastn(i→n(countrefs(ints0)), refs), i1, [], ty, ints0, st)) [r -- fs ' ] ) = st[r -- fs '], 0 ∈ ints0 .butlast
[[CONCRETESIMPRULES : ([CSIMPELIM : ints ≠ [] ⊦ i = ints .first ∧ ints0 = ints .rest ↔ ints = i + ints0])], [EXTRATERMS : (ints0, i1, ints1)]]