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Proof step 1 from proof scan-strong (conclusion)

nused ≤ # zbrar, sorted(zbrar, 0, nused), n = scan(key, zbrar, 0, nused) ⊦ n ≤ nused ∧ (n < nused → key ≤ zbrar[n].key) ∧ (∀ n0. n0 < n → zbrar[n0].key < key) ∧ (∀ n1. n < n1 ∧ n1 < nused → key < zbrar[n1].key)

System applied rule normalize

And obtained the following new goals

Proof step 2:
n = scan(key, zbrar, 0, nused), sorted(zbrar, 0, nused), nused ≤ # zbrar ⊦ n ≤ nused ∧ (n < nused → key ≤ zbrar[n].key) ∧ (∀ n0. n0 < n → zbrar[n0].key < key) ∧ (∀ n1. n < n1 ∧ n1 < nused → key < zbrar[n1].key)

Proof step 1 from proof scan-strong (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information