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Proof step 113 from proof cyclic-pseq (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , ¬ is_reftype(ty) → (validrefs(str, refs, ty, st) ↔ refs = [] ∨ refs = jvmref ') ,[st, ty, refs, str] → [st, fs .type, (st[r2 -- fs '] .refval ' + refs) + r0 ', str] ,F ,cyclic , ,validrefs-primtype ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' = r0 ' + refs ↔ r = r0 ∧ refs = []])], [EXTRATERMS : (st, fs .type, (st[r2 -- fs '] .refval ' + refs) + r0 ', str)]]