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Proof step 85 from proof unchanged-junkrefs-level (previous step)

st[r -- i '] = refval(r1), st[r -- _type] .type = mkarraytype(ty1), st[r -- _length] = st1[r -- _length], st1[r -- i '] = refval(r1), st1[r -- _type] = st[r -- _type], 0 < st1[r -- _length] .intval, is_array(str0, r, st), unchangedNorec(r, st, st1), is_array(str, r, st), 0 ≤ i, is_array(str, r, st1), is_valid_ref(str0, r, st1), mkarraytype(ty1) ≤ ty, i < st1[r -- _length] .intval, junkrefs(str, r1 ' + refs, ty1, st), unchanged(str0, r, st, st1), level⊆(str, str0), ∀ i0. ¬ i0 < 0 ∧ ¬ st1[r -- _length] .intval ≤ i0 → st[r -- i0 '] = st1[r -- i0 '], ∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1)) ⊦ r = r1, r1 = jvmref, r = jvmref, junkrefs(str, r1 ' + refs, ty1, st1), unchanged(str0, r1, st, st1), path∃(str0, r, r1, st1), st[r1 -- _type] .type ≤ ty1 ∧ is_valid_ref(str0, r1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkrefs-is-junk antecedent: succedent: r ≠ jvmref ∧ ( ¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → junkrefs(str, r ' + refs, ty, st) substlist: [st, ty, refs, r, str] → [st1, ty1, refs, r1, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 3)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, ty1, refs, r1, str)]]