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Proof step 16 from proof cyclic-addarray-this (previous step)

newref(refs .first, st), dups(refs), validrefs(str, refs, mkarraytype(ty), addarray(refs .first, ty, i, st)) ⊦ refs .first = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
refs = r + refs0 ∧ refs ≠ [], newref(r, st), dups(refs), validrefs(str, refs, mkarraytype(ty), addarray(r, ty, i, st)) ⊦ r = jvmref

Rule argument

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

Additional information

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