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Proof step 5 from proof scan-min (previous step)

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

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: key, zbrar, m + 1 abort: F discard: F computed: F

Additional information

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