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Proof step 10 from proof unchanged-cyclic (previous step)

unchanged(str, r, st, st0), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ junkref(str, r, st), ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, st0[refs0 .first -- _type] .type, st0), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

User applied rule exists right

And obtained the following new goals

Proof step 9:
unchanged(str, r, st, st0), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ junkref(str, r, st), dups(r ' + refs1) ∧ (r ' + refs1) .first = r ∧ validrefs(str, r ' + refs1, st0[(r ' + refs1) .first -- _type] .type, st0), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (r ' + refs1) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r ' + refs1)]]