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Proof step 34 from proof cyclic-addarray-this-01 (previous step)

is_array(str, r0, addarray(r0, ty, vals, st)), newref(r0, st), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st), refs0 = [] ∨ 0 ≤ i ∧ i < n→i(# vals) ∧ is_referencevalue(vals[i→n(i)]) ∧ refs0 .first = vals[i→n(i)] .refval ∧ validrefs(str, refs0, ty, addarray(r0, ty, vals, st)) ⊦ r0 = jvmref, ¬ r0 ∈ refs0 ∧ ¬ dups(refs0)

User applied rule cut formula

And obtained the following new goals

Proof step 33:
is_array(str, r0, addarray(r0, ty, vals, st)), newref(r0, st), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st), refs0 = [] ∨ 0 ≤ i ∧ i < n→i(# vals) ∧ is_referencevalue(vals[i→n(i)]) ∧ refs0 .first = vals[i→n(i)] .refval ∧ validrefs(str, refs0, ty, addarray(r0, ty, vals, st)) ⊦ refs0 = [], r0 = jvmref, ¬ r0 ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[fma-arg: refs0 = []]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ []], [CSIMPSEQ : ⊦ ¬ dups([])])], [EXTRAFMAS : (refs0 = [])]]