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Proof step 39 from proof mult-def-02 (previous step)

0 < i3, 0 < j2, 1 < i, 0 < i, ∀ j2, j1, i4, i3. i→n(i3) + i→n(i4) < i→n(i * 0) + i→n(i2) → 0 < j1 ∧ 0 < j2 → rational(i3, j1) * rational(i4, j2) = rational(i3 * i4, j1 * j2) ⊦ j2 = 0, i = 0, rational(0, 1) = rational(0, i3 * j2)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: zero-num rotate: F subst: [j] → [i3 * j2]

Additional information

Used terms: i3 * j2