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Proof step 18 from proof cyclic-addarray-this (previous step)

cyclic(str, r, addarray(r, ty, i, st)), newref(r, st) ⊦ r = jvmref

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, st[r -- _type] .type, st))
Proof step 17:
∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (addarray(r, ty, i, st)[r -- _type]) .type, addarray(r, ty, i, st)), newref(r, st) ⊦ r = jvmref

Rule argument

[crewrite-arg: cyclic-def-simple , F , [st, r, str] → [addarray(r, ty, i, st), r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, i, st), r, str)]]