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Proof step 12 from proof junkrefs-primarray (previous step)

refs .first = st[r -- i '] .refval, st[r -- _type] .type = mkarraytype(ty0), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, r ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, ty0 ≤ ty, is_primtype(ty), is_array(str, r, st), okarray(r, ty, st), junkrefs(str, refs, ty0, st) ⊦ refs = [], r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
refs = r0 + refs0, r0 = st[r -- i '] .refval, st[r -- _type] .type = mkarraytype(ty0), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, r ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, ty0 ≤ ty, is_primtype(ty), is_array(str, r, st), okarray(r, ty, st), junkrefs(str, refs, ty0, st) ⊦ refs = [], r = jvmref

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r0, refs0] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs, r0, refs0)]]