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Proof step 4 from proof scan-min (previous step)

(¬ zbrar[m].key < key ⊃ m;scan(key, zbrar, m + 1, len0)) < m, ∀ key, zbrar, m. ¬ scan(key, zbrar, m, len0) < m ⊦

User applied rule case distinction

And obtained the following new goals

Proof step 5:
scan(key, zbrar, m + 1, len0) < m, zbrar[m].key < key, ∀ key, zbrar, m. ¬ scan(key, zbrar, m, len0) < m ⊦

Rule argument

pos: left 1

Additional information

Used simplifier rules: ⊦ ¬ n < n; (s)