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Proof step 8 from proof nonnullrefs-dups (previous step)

r0 ≠ jvmref ∧ (∃ m. vals0[m] = refval(r0) ∧ m < # vals0) ⊦ r0 = jvmref, dups(vals0 .nonnullrefs), ∃ r, m, n. (refval(r0) ' + vals0)[m] = refval(r) ∧ (refval(r0) ' + vals0)[n] = refval(r) ∧ r ≠ jvmref ∧ m ≠ n ∧ ¬ # vals0 < m ∧ ¬ # vals0 < n, ∃ r, m, n. vals0[m] = refval(r) ∧ vals0[n] = refval(r) ∧ r ≠ jvmref ∧ m ≠ n ∧ ¬ # vals0 ≤ m ∧ ¬ # vals0 ≤ n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
vals0[m] = refval(r0), m < # vals0 ⊦ r0 = jvmref, vals0 = [], dups(vals0 .nonnullrefs), ∃ r, m, n. vals0[m] = refval(r) ∧ vals0[n] = refval(r) ∧ r ≠ jvmref ∧ m ≠ n ∧ ¬ # vals0 ≤ m ∧ ¬ # vals0 ≤ n, ∃ r, m, n. (refval(r0) ' + vals0)[m] = refval(r) ∧ (refval(r0) ' + vals0)[n] = refval(r) ∧ r ≠ jvmref ∧ m ≠ n ∧ ¬ # vals0 < m ∧ ¬ # vals0 < n

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list-data, javavalues, l, ⊦ # vals = 0 ↔ vals = []], [CSIMPNAMEDFORWARD : nat-basic1, , f, ⊦ m < n → n ≠ 0])]]