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Proof step 1 from proof rest-rec (conclusion)

⊦ 0 < n → restn(n, x) = restn(n -1, x.rest)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ restn(n, x) = restn(n - 1, x.rest), n = 0

Rule argument

Additional information

Used simplifier rules: zero: ⊦ 0 < m ↔ m ≠ 0; from specification nat-basic1%pred-03: ⊦ n -1 = n - 1; from specification nat