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Proof step 24 from proof junkrefs-addarray (previous step)

acc .first = (addarray(r0, ty0, vals, st)[r -- fs ']) .refval, st[r -- _type] .type ≤ ty, newref(r0, st), junkrefs(str, acc, fs .type, addarray(r0, ty0, vals, st)), is_referencevalue(addarray(r0, ty0, vals, st)[r -- fs ']), fs ' ∈ instfields((addarray(r0, ty0, vals, st)[r -- _type]) .type .class), is_obj(str, r, st), (addarray(r0, ty0, vals, st)[r -- _type]) .type ≤ ty, is_obj(str, r, addarray(r0, ty0, vals, st)), ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ acc = [], r0 = jvmref, r = jvmref, junkrefs(str, r ' + acc, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 23:
acc = r1 + refs, r1 = (addarray(r0, ty0, vals, st)[r -- fs ']) .refval, st[r -- _type] .type ≤ ty, newref(r0, st), junkrefs(str, acc, fs .type, addarray(r0, ty0, vals, st)), is_referencevalue(addarray(r0, ty0, vals, st)[r -- fs ']), fs ' ∈ instfields((addarray(r0, ty0, vals, st)[r -- _type]) .type .class), is_obj(str, r, st), (addarray(r0, ty0, vals, st)[r -- _type]) .type ≤ ty, is_obj(str, r, addarray(r0, ty0, vals, st)), ∀ str, ty, r0, ty0, vals, st. junkrefs(str, acc, ty, addarray(r0, ty0, vals, st)) ∧ newref(r0, st) → r0 = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ acc = [], r0 = jvmref, r = jvmref, 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)]]