| 2 * i = n→i(m0) * 2 + n→i(n0), n0 < 2, 0 ≤ i ⊦ m0 = i→n(i) |
Used simplifier rules: n2n: ⊦ i→n(n→i(n)) = n;% ⊦ m ≠ 1 → (m < 2 ↔ m = 0); (s)% ⊦ i + 0 = i; (s)%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2% ⊦ 0 < i → (i * j = i * j0 ↔ j = j0); (s)%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult% ⊦ 2 * i ≠ 2 * j + 1; (s) Used formulas: n0 = 1