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Proof step 14 from proof junkref-addarray-01 (previous step)

0 ≤ j, 0 ≤ j, tdname+∃(str, class), junkrefs(str, r ' + refs0, mkarraytype(mkclasstype(class)), addarray(r, mkclasstype(class), vals, st)), class∃(str, class), newref(r, st), i→n(j) < # vals, ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ mkclasstype(class)) ⊦ r = jvmref, vals = [], is_referencevalue(vals[i→n(j)]), ∃ n. ¬ # vals ≤ n ∧ vals[n] = vals[i→n(j)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
i→n(j) < # vals, newref(r, st), class∃(str, class), junkrefs(str, r ' + refs0, mkarraytype(mkclasstype(class)), addarray(r, mkclasstype(class), vals, st)), tdname+∃(str, class), 0 ≤ j, ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ mkclasstype(class)) ⊦ vals = [], r = jvmref, is_referencevalue(vals[i→n(j)]), ∃ n. ¬ # vals ≤ n ∧ vals[n] = vals[i→n(j)]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ # vals = 0 ↔ vals = []], [CSIMPFORWARD : ⊦ m < n → n ≠ 0])]]