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Proof step 2 from proof addarrays-case (previous step)

n→i(# refs) = countrefs(i0 ' + ints0), posints(ints0), 0 ≤ i0 ⊦ addarrays(refs, ty, i0 ' + ints0, i, st) = 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 1:
⊦ ints ≠ [] ∧ n→i(# refs) = countrefs(ints) ∧ posints(ints) → addarrays(refs, ty, ints, i, st) = addmultiarrays(refs, ints .first, [], mktype_from_dims(ty, countdims(ints, i)), getdims(ints), st)

Rule argument

[crewrite-arg: addarrays-def , F , [st, i, ints, ty, refs] → [st, i, i0 ' + ints0, ty, refs] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ' + ints ≠ []], [CSIMPSEQ : ⊦ (i ' + ints) .first = i], [CSIMPSEQ : ⊦ ¬ ints + ints0 ≠ [] ↔ ints = [] ∧ ints0 = []], [CSIMPSEQ : ⊦ i ' ≠ []], [CSIMPSEQ : ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1], [CSIMPSEQ : ⊦ posints(i ' + ints) ↔ 0 ≤ i ∧ posints(ints)])], [EXTRATERMS : (st, i, i0 ' + ints0, ty, refs)]]