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Proof step 7 from proof nosharing-nocycle (previous step)

validref(str, r, ty, st), cyclic(str, r, st) ⊦ hasSharing(r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st))
Proof step 6:
validref(str, r, ty, st), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ⊦ hasSharing(r, st)

Rule argument

[speclemmaarg: , cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs (str, refs, mkclasstype(`java.lang.Object' .class), st)) ,[st, r, str] → [st, r, str] ,F ,cyclic , ,cyclic-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str)]]