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Proof step 26 from proof equality-02 (previous step)

i0 * j < 0, i * j0 = i0 * j, 0 < j, 0 < j0, 0 < i, i0 ≤ 0, i0 < j, i0 < j0, i0 < i ⊦ i = 0, rational(i, j) = rational(i0, j0)

User applied rule insert equation

And closed the goal!

Rule argument

pos: left 2 flags: rotate, discard

Additional information

Used simplifier rules: ⊦ 0 < i → (i * j < 0 ↔ j < 0);% ⊦ i < j → ¬ j < i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;