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Proof step 14 from proof junkrefs-put-refval-01 (previous step)

junkrefs(str, r3 ' + refs, ty0, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), is_obj(str, r1, st), st[r3 -- _type] .type ≤ ty0, junkrefs(str, r3 ' + refs, ty0, st), ∀ str0, ty1, st0, r, fs0, r2. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 .type ≠ void_type ∧ fs0 ' ≠ _length → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r1 = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, r3 = jvmref, ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ r3 = st[r1 -- fs '] .refval ∧ junkrefs(str, st[r1 -- fs '] .refval ' + refs, fs .type, st), ∃ refs0. refs0 ≠ [] ∧ refs0 .first = r3 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

User applied rule exists right

And obtained the following new goals

Rule argument

[EXRARG : pos: right 6, [extquanttermlist: (r3 ' + refs) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])], [EXTRATERMS : (r3 ' + refs)]]