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Proof step 136 from proof cyclic-pseq (previous step)

st[r -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), cyclic(str, r, st), is_obj(str, r1, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '], ∀ fs. fs ' ∈ instfields(class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r1 = jvmref, r = jvmref, junkref(str, r, st), junkref(str, r1, st1), cyclic(str, r1, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , cyclic(str, r, st) ↔ (∃ refs, r0. ¬ dups(refs) ∧ r0 ∈ refs ∧ refs .first = r ∧ validrefs(str, refs + r0 ', st[r -- _type] .type, st)) ,[st, r, str] → [st, r, str] ,F ,cyclic , ,cyclic-def-shortest ]

Additional information

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