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Proof step 19 from proof addarrays-refin-01 (previous step)

n→i(# refs) = countrefs(i0 ' + ints0), rk ∈ st, posints(ints0), 0 ≤ i0 ⊦ rk ∈ addmultiarrays(refs, i0, [], mktype_from_dims(ty, countdims(i0 ' + ints0, i)), getdims(i0 ' + ints0), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk ∈ st ∧ # refs = i→n(countrefs(i ' + ints .rest)) ∧ ints ≠ [] ∧ 0 ≤ i ∧ posints(ints) ∧ ¬ 0 ∈ ints .butlast ∧ i ≤ ints .first → rk ∈ addmultiarrays(refs, i, acc, ty, ints, st)
Proof step 18:
¬ ( rk ∈ st ∧ # refs = 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), n→i(# refs) = countrefs(i0 ' + ints0), rk ∈ st, posints(ints0), 0 ≤ i0 ⊦ rk ∈ addmultiarrays(refs, i0, [], mktype_from_dims(ty, countdims(i0 ' + ints0, i)), getdims(i0 ' + ints0), st)

Rule argument

[crewrite-arg: multi-refin , F , [st, ints, ty, acc, i, refs, rk] → [st, getdims(i0 ' + ints0), mktype_from_dims(ty, countdims(i0 ' + ints0, i)), [], i0, refs, rk] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, getdims(i0 ' + ints0), mktype_from_dims(ty, countdims(i0 ' + ints0, i)), [], i0, refs, rk)]]