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Proof step 2 from proof scan-min (previous step)

scan(key, zbrar, m, len) < m ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 3:
scan(key, zbrar, m, len0 +1) < m, ∀ key, zbrar, m. ¬ scan(key, zbrar, m, len0) < m ⊦

Rule argument

indvar: len

Additional information

Used simplifier rules: scan-base: ⊦ scan(key, zbrar, m, 0) = m;%nat freely generated by 0, +1;;% ⊦ ¬ n < n; (s)