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Proof step 3 from proof factor-rat (previous step)

⊦ j ≠ 0 ∧ i1 ≠ 0 → rational(i1 * i, j * i1) = rational(i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ i * j = j * i
Proof step 5:
⊦ j ≠ 0 ∧ i1 ≠ 0 → rational(i1 * i, i1 * j) = rational(i, j)

Rule argument

seq: ⊦ i * j = j * i subst: [j, i] → [i1, j] rotate: F spec: int-mult inst: name: commutativity

Additional information

Used terms: i1, j