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Proof step 38 from proof unchanged-junkrefs (previous step)

st[r -- _type] = st1[r -- _type], st[r -- _length] = st1[r -- _length], unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), is_arraytype(st1[r -- _type] .type), 0 ≤ i, 0 < st1[r -- _length] .intval, is_array(str, r, st1), is_array(str, r, st), i < st1[r -- _length] .intval, is_referencevalue(st[r -- i ']), junkrefs(str, st[r -- i '] .refval ' + refs, st1[r -- _type] .type .type, st1) ⊦ r = jvmref, unchanged(str, st[r -- i '] .refval, st, st1), junkrefs(str, st[r -- i '] .refval ' + refs, st1[r -- _type] .type .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-array-forward antecedent: succedent: unchanged(str, r, st, st1) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_array(str, r, st) ∧ is_referencevalue(st[r -- i ']) ∧ r ≠ jvmref ∧ ( st[r -- i '] .refval ≠ jvmref → st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ is_valid_ref(str, st[r -- i '] .refval, st)) → unchanged(str, st[r -- i '] .refval, st, st1) substlist: [st1, i, r, st, str] → [st1, i, r, st, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, i, r, st, str)]]