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Proof step 19 from proof unchanged-rec-generic (previous step)

st[r -- _type] .type = mkarraytype(ty0), i ' .fs = mkfs(class, ty, fieldvar), st[r -- i '] = refval(r0), 0 ≤ i, unchanged(str, r, st, st0), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, is_array(str, r, st) ⊦ r = jvmref, r0 = jvmref, junkref(str, r, st), unchanged(str, r0, st, st0), st[r0 -- _type] .type ≤ ty0 ∧ is_valid_ref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkref-array antecedent: succedent: is_array(str, r, st) → ( junkref(str, r, st) ↔ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ st[r -- i '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- i '] .refval, st)))) substlist: [st, r, str] → [st, r, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 2)) dummy: () ]

Additional information

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