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Proof step 5 from proof nosharing-nocycle (previous step)

validref(str, refs .first, ty, st), dups(refs), validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ⊦ hasSharing(refs .first, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
refs = r + refs0 ∧ refs ≠ [], validref(str, r, ty, st), dups(refs), validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ⊦ hasSharing(r, st)

Rule argument

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

Additional information

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