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Proof step 5 from proof unchanged-isobj (previous step)

unchanged(str, r, st, st1), is_obj(str, r, st) ⊦ is_obj(str, r, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ unchanged(str, r, st, st0) ↔ (∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st0)))
Proof step 4:
∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st1)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st1)), is_obj(str, r, st) ⊦ is_obj(str, r, st1)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-def antecedent: succedent: unchanged(str, r, st, st0) ↔ (∀ r0. path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ (∀ r0. path∃(str, r, r0, st) ∧ r0 ≠ jvmref → st[r0 -- _type] = st0[r0 -- _type]) ∧ (∀ r0. path∃(str, r, r0, st) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) → st[r0 -- _length] = st0[r0 -- _length]) ∧ (∀ r0, fs. path∃(str, r, r0, st) ∧ r0 ≠ jvmref ∧ is_classtype(st[r0 -- _type] .type) ∧ fs ' ∈ instfields(st[r0 -- _type] .type .class) → st[r0 -- fs '] = st0[r0 -- fs ']) ∧ (∀ r0, i. path∃(str, r, r0, st) ∧ r0 ≠ jvmref ∧ is_arraytype(st[r0 -- _type] .type) ∧ 0 ≤ i ∧ i < st[r -- _length] .intval → st[r0 -- i '] = st0[r0 -- i ']) substlist: [st0, st, r, str] → [st1, st, r, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, st, r, str)]]