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Proof step 5 from proof unchanged-class-forward (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), unchanged(str, r, st, st1), st[r0 -- _type] .type ≤ ty, is_valid_ref(str, r0, st) ⊦ r = jvmref, r0 = jvmref, unchanged(str, r0, st, st1), path∃(str, r, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: pathex-class antecedent: succedent: is_obj(str, r, st) ∧ r ≠ r0 → ( path∃(str, r, r0, st) ↔ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ ( st[r -- fs '] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∧ path∃(str, st[r -- fs '] .refval, r0, st) ∨ st[r -- fs '] .refval = jvmref ∧ r0 = jvmref))) substlist: [st, r0, r, str] → [st, r0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 3)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, r, str)]]