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Proof step 12 from proof cyclic-put-statfield-01 (previous step)

validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ ¬ r ∈ refs0 ∧ ¬ dups(refs0), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (st[jvmref -- sk, val][refs .first -- _type]) .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 11:
validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ ¬ r ∈ refs0 ∧ ¬ dups(refs0), dups(r ' + refs0) ∧ (r ' + refs0) .first = r ∧ validrefs(str, r ' + refs0, (st[jvmref -- sk, val][(r ' + refs0) .first -- _type]) .type, st)

Rule argument

[EXRARG : pos: right 2, [extquanttermlist: (r ' + refs0) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r ' + refs0)]]