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Proof step 10 from proof cyclic-putbar-05 (previous step)

okbytearray(r1, st), validrefs(`docs2store', r ' + refs0, mkclasstype(`java.lang.Object' .class), putByteArray(bytes, r1, st)) ⊦ cyclic(`docs2store', r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st))
Proof step 9:
okbytearray(r1, st), validrefs(`docs2store', r ' + refs0, mkclasstype(`java.lang.Object' .class), putByteArray(bytes, r1, st)) ⊦ ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(`docs2store', refs, mkclasstype(`java.lang.Object' .class), st), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[crewrite-arg: cyclic-def, F, [st, r, str] → [st, r, `docs2store']]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, `docs2store')]]