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Proof step 103 from proof unchanged-junkrefs-level (previous step)

st1[r -- _type] = st[r -- _type], st[r -- i '] = refval(r1), junkrefs(str, r1 ' + refs, st[r -- _type] .type .type, st), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, is_valid_ref(str0, r, st1), is_array(str, r, st1), 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str, r, st), unchangedNorec(r, st, st1), is_valid_ref(str0, r, st), level⊆(str, str0), unchanged(str0, r, st, st1), ∀ str1, st0, st2, str2, ty0. unchanged(str1, r1, st0, st2) ∧ junkrefs(str2, r1 ' + refs, ty0, st0) ∧ level⊆(str2, str1) → junkrefs(str2, r1 ' + refs, ty0, st2), ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)) ⊦ r = jvmref, ¬ st1[r -- _length] .intval ≤ i ∧ is_referencevalue(st1[r -- i ']) ∧ r1 = st1[r -- i '] .refval ∧ junkrefs(str, st1[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchNorec-def-keep antecedent: succedent: ¬ ( st[r -- _type] = st0[r -- _type] ∧ ( is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '])) ∧ ( 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 ']))) ∧ r ≠ jvmref → ¬ unchangedNorec(r, st, st0) substlist: [st0, st, r] → [st1, st, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 10)) dummy: () ]

Additional information

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