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Proof step 7 from proof del-length (previous step)

1 + # x0 < #(x0 -l a0), ∀ a. # x0 < #(x0 -l a) → x0 -l a = [] ⊦ x0 -l a0 = []

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: a0

Additional information

Used simplifier rules: ⊦ ¬ m < n → ¬ m + m0 < n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: a0