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Proof step 33 from proof disjoint-forward-field (previous step)

st[r1 -- _type] .type = mkclasstype(class), st[r1 -- sk] = refval(r2), path∃(str, r3, r0, st), path∃(str, r2, r0, st), sk ∈ instfields(class), r1 ∈ refs, r ∈ refs, r3 ∈ refs, ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r = r1, r1 = jvmref, r0 = jvmref, r3 = r2, r3 = r1, junkref(str, r1, st), r2 ∈ refs, r2 ∈ refs -l r1, path∃(str, r1, 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, r1, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 8)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, r1, str)]]