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Proof step 7 from proof scan-max (previous step)

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

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: m + 1, key, zbrar

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: m + 1, key, zbrar