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Proof step 3 from proof first-mklist (previous step)

∀ m, a. m ≤ n0 → firstn(m, mklist(a, n0)) = mklist(a, m), m ≤ n0 +1 ⊦ firstn(m, mklist(a, n0 +1)) = mklist(a, m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
m ≤ n0 + 1, ∀ m, a. m ≤ n0 → firstn(m, mklist(a, n0)) = mklist(a, m) ⊦ firstn(m, mklist(a, n0 + 1)) = mklist(a, m)

Rule argument

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2