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Proof step 71 from proof validrefs-put-notin-03 (previous step)

is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, is_valid_ref(str, r, st[r -- sk, val]) ⊦ r = r0, val .refval = r0, r0 = st[r -- sk] .refval, sk = _type, sk = _length, validrefs(str, r ' + r0 ' + refs1, ty, st[r -- sk, val]) ↔ validrefs(str, r ' + r0 ' + refs1, ty, st), r = jvmref, r ∈ refs1, dups(refs1), r0 ∈ refs1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: addfuns instance-name: lemma-name: is_valid_ref-def antecedent: succedent: is_valid_ref(str, r, st) ↔ ¬ ¬ ( is_valid_ref(r, st) ∧ (is_obj(str, r, st) ∨ is_array(str, r, st))) substlist: [st, r, str] → [st, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

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