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Proof step 29 from proof nonnullrefs-dups-firstoc (previous step)

dups((vals + refval(r) ' + vals1 + refval(r) ' + vals2) .nonnullrefs), ¬ is_referencevalue(val) ∨ val .refval = jvmref ⊦ r = jvmref, refval(r) ∈ vals, refval(r) ∈ vals1, ∃ r0, vals5, vals4, vals3. val ' + vals + refval(r) ' + vals1 + refval(r) ' + vals2 = vals5 + refval(r0) ' + vals4 + refval(r0) ' + vals3 ∧ r0 ≠ jvmref ∧ ¬ refval(r0) ∈ vals5 ∧ ¬ refval(r0) ∈ vals4

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (r, val ' + vals, vals1, vals2) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, javavalues, a, ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPNAMEDSEQ : list, javavalues, in-10, ⊦ ¬ val ∈ vals → ( val ∈ val0 ' + vals ↔ val = val0)], [CSIMPNAMEDSEQ : javavalue, , test-19, ⊦ is_referencevalue(refval(r))], [CSIMPNAMEDSEQ : javavalue, , sel-09, ⊦ refval(r) .refval = r])], [EXTRATERMS : (r, val ' + vals, vals1, vals2)]]