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Proof step 1 from proof restn-first-get (conclusion)

⊦ n < # x → restn(n, x).first = x[n]

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ n. n < # x0 → restn(n, x0).first = x0[n] ⊦ n < #(a + x0) → restn(n, a + x0).first = (a + x0)[n]

Rule argument

indvar: x

Additional information

Used simplifier rules: list freely generated by [], +;;%size-01: ⊦ # [] = 0; from specification list-data%zero-01: ⊦ ¬ m < 0; from specification nat-basic1