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Proof step 32 from proof unchanged-rec-generic (previous step)

st[r -- sk] = refval(r0), unchanged(str, r, st, st0), is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval ⊦ r = jvmref, unchanged(str, r0, st, st0), junkref(str, r, st)

User applied rule insert 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: [str, r, st, st1, sk] → [str, r, st, st0, sk] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, st, st0, sk)]]