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Proof step 22 from proof junkrefs-put-badarrayfield (previous step)

acc .first = (st[r0 -- fs ', val][r -- fs0 ']) .refval, is_referencevalue(st[r0 -- fs ', val][r -- fs0 ']), junkrefs(str, acc, fs0 .type, st[r0 -- fs ', val]), is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st), is_arraytype(st[r0 -- _type] .type), fs0 ' ∈ instfields(st[r -- _type] .type .class), ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, acc = [], junkrefs(str, r ' + acc, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
acc = r1 + refs, r1 = (st[r0 -- fs ', val][r -- fs0 ']) .refval, is_referencevalue(st[r0 -- fs ', val][r -- fs0 ']), junkrefs(str, acc, fs0 .type, st[r0 -- fs ', val]), is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st), is_arraytype(st[r0 -- _type] .type), fs0 ' ∈ instfields(st[r -- _type] .type .class), ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, acc = [], junkrefs(str, r ' + acc, ty, st)

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)]]