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Proof step 46 from proof addarrays-at-other-01 (previous step)

0 ≤ i0, posints(ints0), i < 0, r ∈ st ⊦ (addmultiarrays(newref_list(i→n(countrefs(i0 ' + ints0)), st), i0, [], mktype_from_dims(ty, countdims(i0 ' + ints0, i)), getdims(i0 ' + ints0), st) [r -- sk ] ) = st[r -- sk]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ ¬ r ∈ refs ∧ # refs = i→n(countrefs(i ' + ints .rest)) ∧ ints ≠ [] ∧ 0 ≤ i ∧ posints(ints) ∧ ¬ 0 ∈ ints .butlast ∧ i ≤ ints .first → (addmultiarrays(refs, i, acc, ty, ints, st)[r -- sk]) = st[r -- sk]
Proof step 45:
¬ ( ¬ r ∈ newref_list(i→n(countrefs(i0 ' + ints0)), st) ∧ # newref_list(i→n(countrefs(i0 ' + ints0)), st) = i→n(countrefs(i0 ' + getdims(i0 ' + ints0) .rest)) ∧ getdims(i0 ' + ints0) ≠ [] ∧ 0 ≤ i0 ∧ posints(getdims(i0 ' + ints0)) ∧ ¬ 0 ∈ getdims(i0 ' + ints0) .butlast ∧ i0 ≤ getdims(i0 ' + ints0) .first), 0 ≤ i0, posints(ints0), i < 0, r ∈ st ⊦ (addmultiarrays(newref_list(i→n(countrefs(i0 ' + ints0)), st), i0, [], mktype_from_dims(ty, countdims(i0 ' + ints0, i)), getdims(i0 ' + ints0), st) [r -- sk ] ) = st[r -- sk]

Rule argument

[crewrite-arg: multi-at-other , F , [sk, r, st, ints, ty, acc, i, refs] → [sk, r, st, getdims(i0 ' + ints0), mktype_from_dims(ty, countdims(i0 ' + ints0, i)), [], i0, newref_list(i→n(countrefs(i0 ' + ints0)), st)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk, r, st, getdims(i0 ' + ints0), mktype_from_dims(ty, countdims(i0 ' + ints0, i)), [], i0, newref_list(i→n(countrefs(i0 ' + ints0)), st))]]