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Proof step 5 from proof disjoint-forward-array (previous step)

st[r1 -- i '] = refval(r3), r2 ∈ refs, 0 < st[r1 -- _length] .intval, 0 ≤ i, is_arraytype(st[r1 -- _type] .type), i < st[r1 -- _length] .intval, r1 ∈ refs, r ∈ refs, path∃(str, r2, r0, st), path∃(str, r3, r0, st), ∀ r4, r5, r6. ¬ r4 ∈ refs ∨ ¬ r5 ∈ refs ∨ r4 = r5 ∨ r6 = jvmref ∨ ¬ path∃(str, r4, r6, st) ∨ ¬ path∃(str, r5, r6, st) ⊦ r2 = r1, r3 = r2, r0 = jvmref, r = r1, r1 = jvmref, path∃(str, r1, r0, st), r3 ∈ refs -l r1, r3 ∈ refs, junkref(str, r1, st), is_array(str, r1, st) ∧ r1 ≠ r0

User applied rule insert rewrite lemma

And obtained the following new goals

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, r1, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 8)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : addfuns, , is_valid_ref-array-01, ⊦ is_arraytype (st[r -- _type] .type) ∧ r ≠ jvmref → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))], [CSIMPNAMEDSEQ : cyclic, , pathex-one, ⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)])], [EXTRATERMS : (st, r1, str)]]