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Proof step 6 from proof cyclic-addarray-this-01 (previous step)

vals[i→n(i)] = refval(r1), r0 ∈ refs, refval(r1) ∈ vals, validrefs(str, r1 ' + refs, ty, addarray(r0, ty, vals, st)), 0 ≤ i, is_array(str, r0, addarray(r0, ty, vals, st)), newref(r0, st), i < n→i(# vals), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ vals = [], r0 = jvmref, r0 = r1, cyclic(str, r1, st), junkref(str, r1, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ validrefs(str, r ' + refs, ty, st0) ∧ r0 ∈ refs ∧ newref(r0, st) ∧ st ⊆ st0 → junkref(str, r, st)

Rule argument

[crewrite-arg: validrefs-superset-junkref , F , [str, r, refs, ty, st0, r0, st] → [str, r1, refs, ty, addarray(r0, ty, vals, st), r0, st] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ newref(r, st) → ( ¬ st ⊆ addarray(r, ty, vals, st) ↔ false)])], [EXTRATERMS : (str, r1, refs, ty, addarray(r0, ty, vals, st), r0, st)]]