∀ n, x. m0 ≤ n → lastn(m0, lastn(n, x)) = lastn(m0, x), m0 +1 ≤ n ⊦ lastn(m0 +1, lastn(n, x)) = lastn(m0 +1, x)
Used simplifier rules: lastN-zero: ⊦ lastn(0, x) = [];%nat freely generated by 0, +1;;