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Proof step 14 from proof cyclic-addrefarray (previous step)

vals[i→n(i)] = refval(r0), refval(r0) ∈ vals, i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), 0 ≤ i, validrefs(str, r0 ' + refs, ty, addarray(r, ty, vals, st)), st[r0 -- _type] .type ≤ ty, ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ ¬ cyclic(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty) ⊦ r = jvmref, ty .jtelemtype = void_type, ty .jtelemtype = abstract_type, vals = [], r = r0, r0 = jvmref, cyclic(str, r0, st), junkref(str, r0, st), r ∈ refs, ¬ dups(refs) ∧ ¬ r0 ∈ refs

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: validrefs-addarray , F , [st, vals, ty0, r, ty, refs, str] → [st, vals, ty, r, ty, r0 ' + refs, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, vals, ty, r, ty, r0 ' + refs, str)]]