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Proof step 4 from proof unchNorec-index (previous step)

unchangedNorec(r, st, st0), i < st[r -- _length] .intval, is_arraytype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ st[r -- i '] = st0[r -- i '], r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchangedNorec-def antecedent: succedent: unchangedNorec(r, st, st0) ↔ r = jvmref ∨ r ≠ jvmref ∧ st[r -- _type] = st0[r -- _type] ∧ ( is_classtype(st[r -- _type] .type) → (∀ sk. sk ∈ instfields(st[r -- _type] .type .class) → st[r -- sk] = st0[r -- sk])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = st0[r -- i '])) substlist: [st0, st, r] → [st0, st, r] 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 : (st0, st, r)]]