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Proof step 5 from proof add-def-03 (previous step)

⊦ j1 = 0, j2 = 0, rational(i1, j1) + rational(i2, j2) = rational(i1 * j2 + j1 * i2, j1 * j2), ¬ j1 < 0 ∧ ¬ j2 < 0

User applied rule cut formula

And obtained the following new goals

Proof step 6:
j1 < 0 ⊦ j1 = 0, j2 = 0, rational(i1, j1) + rational(i2, j2) = rational(i1 * j2 + j1 * i2, j1 * j2), ¬ j1 < 0 ∧ ¬ j2 < 0
Proof step 21:
⊦ j1 < 0, j1 = 0, j2 = 0, rational(i1, j1) + rational(i2, j2) = rational(i1 * j2 + j1 * i2, j1 * j2), ¬ j1 < 0 ∧ ¬ j2 < 0

Rule argument

fma: j1 < 0

Additional information

Used formulas: j1 < 0