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Proof step 61 from proof nonnullrefs-dups (conclusion)

⊦ dups(vals .nonnullrefs) ↔ (∃ r, m, n. vals[m] = refval(r) ∧ vals[n] = refval(r) ∧ r ≠ jvmref ∧ m ≠ n ∧ m < # vals ∧ n < # vals)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 60:
⊦ dups(vals .nonnullrefs) ↔ (∃ r, m, n. vals[m] = refval(r) ∧ vals[n] = refval(r) ∧ r ≠ jvmref ∧ m ≠ n ∧ ¬ # vals ≤ m ∧ ¬ # vals ≤ n)

Rule argument

[emptyarg]

Additional information

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