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Proof step 44 from proof addarrays-at-other (previous step)

# refs = i→n(countrefs(ints)), n→i(# refs) = countrefs(ints), 0 ≤ i, posints(ints) ⊦ ints = [], (addmultiarrays(refs, ints .first, [], mktype_from_dims(ty, countdims(ints, i)), getdims(ints), st)[r -- sk]) = st[r -- sk], r ∈ refs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 43:
ints = i0 + ints0, # refs = i→n(countrefs(ints)), n→i(# refs) = countrefs(ints), 0 ≤ i, posints(ints) ⊦ ints = [], (addmultiarrays(refs, i0, [], mktype_from_dims(ty, countdims(ints, i)), getdims(ints), st)[r -- sk]) = st[r -- sk], r ∈ refs

Rule argument

[speclemmaarg: ints ≠ [] ,i = ints .first ∧ ints0 = ints .rest ↔ ints = i + ints0 ,[ints, i, ints0] → [ints, i0, ints0] ,T ,list-data ,intlista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ints ≠ [] ⊦ i = ints .first ∧ ints0 = ints .rest ↔ ints = i + ints0])], [EXTRATERMS : (ints, i0, ints0)]]