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Proof step 56 from proof pseq-subset (previous step)

st2[r -- _type] = st1[r1 -- _type], st[r -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), st2[r -- fs '] = refval(r2), fs ' ∈ instfields(class), r -- _type ∈ st, r -- _type ∈ st2, r ∈ st, r ∈ st2, is_obj(str, r1, st1), is_obj(str, r, st), ∀ 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), ∀ rk. rk ∈ st → rk ∈ st2 ∧ st[rk] = st2[rk], ∀ 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)) ⊦ r1 = jvmref, r = jvmref, r -- fs ' ∈ st, is_reftype(fs .type), ps=(r2, st2, st1[r1 -- fs '] .refval, st1), cyclic(str, r1, st1), junkref(str, r1, st1), cyclic(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , ¬ r -- sk ∈ st ∧ sk ∈ instfields(class) ∧ st[r -- _type] .type ≤ mkclasstype(class) ∧ r ≠ jvmref → ¬ is_obj(str, r, st) ,[r, sk, st, class, str] → [r, fs ', st, class, str] ,F ,addfuns , ,is_obj-field-in ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2], [CSIMPSEQ : ⊦ class ≤ class])], [EXTRATERMS : (r, fs ', st, class, str)]]