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Proof step 128 from proof exvalidrefs-maxlength (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), r ∈ st, is_obj(r, class0, st), r -- _type ∈ st, is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), is_reftype(ty), ∀ r, str, st0. # st0 .refs < # st .refs → ( true → cyclic(str, r, st0) ∨ junkref(str, r, st0) ∨ (∃ refs. validrefs(str, refs, st0[refs .first -- _type] .type, st0) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st0))) ⊦ r = jvmref, cyclic(str, r, st), is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']), ∃ refs. validrefs(str, refs, st[refs .first -- _type] .type, st) ∧ refs ≠ [] ∧ ¬ dups(refs) ∧ refs .first = r ∧ ¬ has_reffield(refs .last, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_obj(r, class, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st) ,[st, class, r] → [st, class0, r] ,F ,addfuns , ,is_obj-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, class0, r)]]