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Proof step 54 from proof unchanged-junkrefs (previous step)

st[r -- _type] = st1[r -- _type], junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), is_valid_ref(str, r, st), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)

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, 3)) dummy: () ]

Additional information

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