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Proof step 16 from proof nonnullrefs-dups (previous step)

vals0[m] = refval(r), m < # vals0 ⊦ r = jvmref, vals0 = [], r ≠ jvmref ∧ (∃ m. vals0[m] = refval(r) ∧ m < # vals0), dups(vals0 .nonnullrefs), ∃ r1, m0, n0. vals0[m0] = refval(r1) ∧ vals0[n0] = refval(r1) ∧ r1 ≠ jvmref ∧ m0 ≠ n0 ∧ ¬ # vals0 ≤ m0 ∧ ¬ # vals0 ≤ n0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
vals0[m] = refval(r), m < # vals0 ⊦ r = jvmref, vals0 = [], dups(vals0 .nonnullrefs), ∃ r1, m0, n0. vals0[m0] = refval(r1) ∧ vals0[n0] = refval(r1) ∧ r1 ≠ jvmref ∧ m0 ≠ n0 ∧ ¬ # vals0 ≤ m0 ∧ ¬ # vals0 ≤ n0, ∃ m0. vals0[m0] = refval(r) ∧ ¬ # vals0 ≤ m0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : nat, , lels, ⊦ ¬ m < n ↔ n ≤ m])]]