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Proof step 27 from proof cyclic-addarray-this-01 (previous step)

vals[i→n(i)] = refval(r1), 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), refval(r1) ∈ vals → ¬ junkref(str, r1, st) ∧ ¬ cyclic(str, r1, st), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ vals = [], r0 = jvmref, r0 ≠ r1 ∧ ¬ r0 ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs)

User applied rule cut formula

And obtained the following new goals

Proof step 19:
refval(r1) ∈ vals, vals[i→n(i)] = refval(r1), 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), refval(r1) ∈ vals → ¬ junkref(str, r1, st) ∧ ¬ cyclic(str, r1, st), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ vals = [], r0 = jvmref, r0 ≠ r1 ∧ ¬ r0 ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs)
Proof step 26:
vals[i→n(i)] = refval(r1), 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), refval(r1) ∈ vals → ¬ junkref(str, r1, st) ∧ ¬ cyclic(str, r1, st), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ refval(r1) ∈ vals, vals = [], r0 = jvmref, r0 ≠ r1 ∧ ¬ r0 ∈ refs ∧ ¬ r1 ∈ refs ∧ ¬ dups(refs)

Rule argument

[fma-arg: refval(r1) ∈ vals]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (refval(r1) ∈ vals)]]