| ∀ a. rev(mklist(a, n0)) = mklist(a, n0) ⊦ n0 + 1 = 0, rev(mklist(a, (n0 + 1)-1) + a ') = mklist(a, (n0 + 1)-1) + a ' |
∀ a. rev(mklist(a, n0)) = mklist(a, n0) ⊦ rev(mklist(a, n0)) + a ' = a ' + mklist(a, n0)
Used simplifier rules: mk-last: ⊦ mklist(a, n) + a ' = a ' + mklist(a, n);%rev-r: ⊦ rev(a ' + x) = rev(x) + a;% ⊦ m + 1 ≠ 0; (s)% ⊦ x + a = x + a '; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ (m + 1)-1 = m; (s)