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Proof step 89 from proof pseq-subset (previous step)

st2[r -- _type] = st1[r1 -- _type], st[r -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), is_obj(str, r, st), is_obj(str, r1, st1), fs0 ' ∈ instfields(class), r -- _type ∈ st, r -- _type ∈ st2, r ∈ st, r ∈ st2, ∀ fs. fs ' ∈ instfields(class) ∧ is_referencevalue(st[r -- fs ']) → ps=(st[r -- fs '] .refval, st, st1[r1 -- fs '] .refval, st1), r -- fs0 ' ∈ st → r -- fs0 ' ∈ st2 ∧ st[r -- fs0 '] = st2[r -- fs0 '], ¬ is_referencevalue(st[r -- fs0 ']) → st[r -- fs0 '] = st1[r1 -- fs0 '], ∀ st1, r1, st2, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r, st) → ( st0 ⊆ st2 ∧ ps=(r0, st0, r1, st1) → junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0) ∨ junkref(str0, r1, st1) ∨ cyclic(str0, r1, st1) ∨ ps=(r0, st2, r1, st1)) ⊦ st2[r -- fs0 '] = st1[r1 -- fs0 '], r1 = jvmref, r = jvmref, is_referencevalue(st2[r -- fs0 ']), cyclic(str, r1, st1), junkref(str, r1, st1), cyclic(str, r, st), junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , ¬ r -- sk ∈ st ∧ sk ∈ instfields(st[r -- _type] .type .class) → ¬ is_obj(str, r, st) ,[r, sk, st, str] → [r, fs0 ', st, str] ,F ,addfuns , ,is_obj-notin-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) .class = class])], [EXTRATERMS : (r, fs0 ', st, str)]]