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Proof step 6 from proof unchNorec-index0 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r ≠ jvmref ∧ st[r -- _length] ≠ st0[r -- _length] ∧ is_arraytype(st[r -- _type] .type) → ¬ unchangedNorec(r, st, st0)
Proof step 5:
¬ (r ≠ jvmref ∧ st[r -- _length] ≠ st0[r -- _length] ∧ is_arraytype(st[r -- _type] .type)), unchangedNorec(r, st, st0), i < st0[r -- _length] .intval, is_arraytype(st0[r -- _type] .type), 0 ≤ i, 0 < st0[r -- _length] .intval ⊦ st0[r -- i '] = st[r -- i '], r = jvmref, ¬ st[r -- _length] .intval ≤ i ∧ is_arraytype(st[r -- _type] .type)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchNorec-length-intro antecedent: succedent: r ≠ jvmref ∧ st[r -- _length] ≠ st0[r -- _length] ∧ is_arraytype(st[r -- _type] .type) → ¬ unchangedNorec(r, st, st0) 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)]]