| ¬ ¬((i * i) % 10 = 0 ∧ 2 * abs(i0) ≠ 0 ∧ i * i ≠ 0), ∀ i1, i0. i→n(i1) < i→n(i) → true → isSquare(mkDecimal(i1 * i1, 2 * abs(i0)).int) ⊦ isSquare(mkDecimal(i * i, 2 * abs(i0)).int) |
(i * i) % 10 = 0, ∀ i1, i0. i→n(i1) < i→n(i) → true → isSquare(mkDecimal(i1 * i1, 2 * abs(i0)).int) ⊦ i = 0, i0 = 0, isSquare(mkDecimal(i * i, 2 * abs(i0)).int)
Used simplifier rules: abs-07: ⊦ abs(i) = 0 ↔ i = 0; from specification int-abs%two-zero: ⊦ 2 * i = 0 ↔ i = 0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%square-zero: ⊦ i * i = 0 ↔ i = 0; from specification int-mult