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

∀ m, x. restn(m, restn(n0, x)) = restn(m + n0, x) ⊦ restn(m, restn(n0 +1, x)) = restn(m + n0 +1, x)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
∀ m, x. restn(m, restn(n0, x)) = restn(m + n0, x) ⊦ restn(m, restn(n0, x.tail)) = restn(m + n0, x.tail)

Rule argument

Additional information

Used simplifier rules: restN-rec: ⊦ restn(n + 1, x) = restn(n, x.tail);%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m +1 = m + 1; (s)