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Proof step 1 from proof valid-idx-last-valid (conclusion)
m < m0 ⊦ kar[m] = key-index(key, n) ∧ valid-idx(kar, ar, m0) → ¬ # ar ≤ n
System applied rule normalize
And obtained the following new goals
Proof step 2
:
kar[m] = key-index(key, n), m < m0, valid-idx(kar, ar, m0), # ar ≤ n ⊦
Rule argument
Additional information