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Proof step 9 from proof unchNorec-put-nopathex (previous step)

is_arraytype(st[r -- _type] .type) ⊦ r = jvmref, sk = _type, junkref(str, r, st), path∃(str, r, r0, st), st[r -- _length] = (st[r0 -- sk, val][r -- _length]) ∧ (0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = (st[r0 -- sk, val][r -- i ']))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st)
Proof step 8:
¬ (r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st)), is_arraytype(st[r -- _type] .type) ⊦ r = jvmref, sk = _type, junkref(str, r, st), path∃(str, r, r0, st), st[r -- _length] = (st[r0 -- sk, val][r -- _length]) ∧ (0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = (st[r0 -- sk, val][r -- i ']))

Rule argument

[x0lemmaarg: spec-name: junkrefs instance-name: lemma-name: junkref-is-junk antecedent: succedent: r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, 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)]]