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Proof step 59 from proof unchNorec-validrefs (previous step)

validrefs(str, r ' + refs0, ty, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, st0. validrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → validrefs(str, refs0, ty, st0), ∀ r0. r0 = r ∨ r0 ∈ refs0 → unchangedNorec(r0, st, st0) ⊦ r = jvmref, validrefs(str, r ' + refs0, ty, st0)

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-stronger-def antecedent: succedent: is_valid_ref(str, 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, 1)) dummy: () ]

Additional information

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