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Proof step 38 from proof addarrays-auto-22 (previous step)

1 = # refs ⊦ addarrays(r ' + r0 ' + refs, ty, 2 ' + 2 ', 0, st) = addarray(r, mkarraytype(ty), refval(r0) ' + refval(refs[0]) ', addarray(r0, ty, 2, addarray(refs .first, ty, 2, st)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 37:
refs = r1 + refs0 ∧ refs ≠ [], 1 = # refs ⊦ addarrays(r ' + r0 ' + refs, ty, 2 ' + 2 ', 0, st) = addarray(r, mkarraytype(ty), refval(r0) ' + refval(refs[0]) ', addarray(r0, ty, 2, addarray(r1, ty, 2, st)))

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r1, refs0] ,T ,list-data ,references ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ # [] = 0], [CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs, r1, refs0)]]