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Proof step 84 from proof pseq-sym-01 (previous step)

st[r -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), st[r -- fs0 '] = refval(jvmref), fs0 ' ∈ instfields(class), is_obj(str, r1, st1), ∀ fs. fs ' ∈ instfields(class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), ∀ fs. fs ' ∈ instfields(class) ∧ ¬ is_referencevalue(st[r -- fs ']) → st[r -- fs '] = st1[r1 -- fs '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → ( true → ( ¬ cyclic(str0, r, st) ∧ ¬ cyclic(str0, r0, st0) ∧ ¬ junkref(str0, r, st) ∧ ¬ junkref(str0, r0, st0) → (ps=(r, st, r0, st0) → ps=(r0, st0, r, st)))) ⊦ st1[r1 -- fs0 '] = refval(jvmref), r = jvmref, r1 = jvmref, is_referencevalue(st1[r1 -- fs0 ']), junkref(str, r, st), cyclic(str, r1, st1), cyclic(str, r, st), is_reftype(fs0 .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st) ,[st, r, str] → [st, r, str] ,F ,junkrefs , ,junkref-is-junk ]

Additional information

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