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Proof step 8 from proof cyclic-pseq (previous step)

st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), validrefs(str, (r2 ' + refs0) + r0 ', mkclasstype(class), st), is_obj(str, r1, st1), is_array(str, r2, st), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r2 -- fs ']) → st[r2 -- fs '] = st1[r1 -- fs '], ∀ fs. fs ' ∈ instfields(class) ∧ is_referencevalue(st[r2 -- fs ']) → ps=(st[r2 -- 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, r2 = jvmref, r2 ∈ refs0, dups(refs0), junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), r0 ≠ r2 ∧ ¬ r0 ∈ refs0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,¬ is_arraytype(st[r -- _type] .type) → ¬ is_array(str, r, st) ,[st, r, str] → [st, r2, str] ,F ,okfuns , ,is_array-arraytype ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])], [EXTRATERMS : (st, r2, str)]]