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

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), st[r -- _type] .type = mkclasstype(class0), st1[r -- _type] = st[r -- _type], st1[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), class0 ≤ class1, is_valid_ref(str0, r, st1), is_obj(str, r, st1), is_obj(str, r, st), unchangedNorec(r, st, st1), is_obj(str0, r, st), level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r1 ' + refs, ty1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(class0), ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)), ∀ fs. fs ' ∈ instfields(class0) → st[r -- fs '] = st1[r -- fs '] ⊦ r = jvmref, junkrefs(str, r1 ' + refs, ty1, st1), unchanged(str0, r1, st, st1)

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] → [str0, r, st, st1, mkfs(class, ty1, fieldvar) '] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str0, r, st, st1, mkfs(class, ty1, fieldvar) ')]]