| ⊦ rational(rational(i, i0).num, rational(i, i0).denom).num = rational(i, i0).num ∧ rational(rational(i, i0).num, rational(i, i0).denom).denom = rational(i, i0).denom, i ≠ 0 ∧ ¬ i0 ≤ 0, ¬ i ≤ 0 ∧ ¬ 0 ≤ i0, ¬ 0 ≤ i ∧ ¬ 0 ≤ i0 |
⊦ ¬ i0 ≤ 0, rational(rational(i, i0).num, rational(i, i0).denom).num = rational(i, i0).num ∧ rational(rational(i, i0).num, rational(i, i0).denom).denom = rational(i, i0).denom, ¬ i ≤ 0 ∧ ¬ 0 ≤ i0, ¬ 0 ≤ i ∧ ¬ 0 ≤ i0
Used simplifier rules: numerator-zero: ⊦ rational(0, j).num = 0;%denominator-zero: ⊦ rational(0, j).denom = 1;