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Proof step 126 from proof cyclic-pseq (previous step)

st[r2 -- _type] = st1[r1 -- _type], st1[r1 -- _type] .type = mkclasstype(class), refs0 .first = st[r2 -- fs '] .refval, is_obj(str, r1, st1), is_obj(str, r2, st), validrefs(str, refs0 + r0 ', fs .type, st), is_referencevalue(st[r2 -- fs ']), fs ' ∈ instfields(class), ∀ 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)) ⊦ refs0 = [], 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 elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,refs ≠ [] → (r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0) ,[refs, r, refs0] → [refs0, r3, refs] ,T ,list-data ,references-olista ,elim-1 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ refs ≠ [] → ( r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0)])], [EXTRATERMS : (refs0, r3, refs)]]