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Proof step 45 from proof validrefs-put-badarrayfield-01 (previous step)

acc .first = st[r -- i '] .refval, is_arraytype(st[r0 -- _type] .type), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, acc, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval, junkref(str, acc .first, st) ⊦ fs ' = _type, fs ' = _length, r = jvmref, acc = [], junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), dups(acc .butlast), r ∈ acc .butlast, validrefs(str, acc, st[r -- _type] .type .type, st[r0 -- fs ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

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

Additional information

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