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Proof step 2 from proof restn-nonempty (previous step)

restn(n, a ' + x) = [], n < # x ⊦ x = []

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ n, a. restn(n, a ' + x0) = [] ∧ n < # x0 → x0 = [], restn(n, a ' + (a0 + x0)) = [], n < #(a0 + x0) ⊦ a0 + x0 = []

Rule argument

indvar: x

Additional information

Used simplifier rules: list freely generated by [], +;;