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Proof step 15 from proof unchanged-junkrefs (previous step)

st[r -- _type] = st1[r -- _type], unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), is_classtype(st1[r -- _type] .type), is_obj(str, r, st1), is_obj(str, r, st), fs ' ∈ instfields(st1[r -- _type] .type .class), is_referencevalue(st[r -- fs ']), junkrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st1) ⊦ r = jvmref, unchanged(str, st[r -- fs '] .refval, st, st1), junkrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-class-forward antecedent: succedent: unchanged(str, r, st, st1) ∧ sk ∈ instfields(st[r -- _type] .type .class) ∧ is_obj(str, r, st) ∧ is_referencevalue(st[r -- sk]) ∧ r ≠ jvmref ∧ ( st[r -- sk] .refval ≠ jvmref → st[st[r -- sk] .refval -- _type] .type ≤ sk .fs .type ∧ is_valid_ref(str, st[r -- sk] .refval, st)) → unchanged(str, st[r -- sk] .refval, st, st1) substlist: [st1, sk, r, st, str] → [st1, fs ', 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, fs ', r, st, str)]]