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Proof step 12 from proof junkref-addarray-newref-put (previous step)

newref(r0, st), is_bytelist(vals), junkrefs (str, refs, (addarray(r0, byte_type, vals, st)[refs .first -- _type]) .type, addarray(r0, byte_type, vals, st)[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]) ⊦ r0 = jvmref, refs = [], ∃ refs0. refs0 ≠ [] ∧ refs0 .first = refs .first ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
refs = r + refs1, newref(r0, st), is_bytelist(vals), junkrefs (str, refs, (addarray(r0, byte_type, vals, st)[r -- _type]) .type, addarray(r0, byte_type, vals, st)[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]) ⊦ r0 = jvmref, refs = [], ∃ refs0. refs0 ≠ [] ∧ refs0 .first = r ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r, refs1] ,T ,list-data ,references ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs, r, refs1)]]