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Proof step 2 from proof equality-def (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i = j ↔ rational(i, 1) = rational(j, 1)
Proof step 4:
0 < j, 0 < j0 ⊦ rational(i, j) = rational(i0, j0) ↔ rational(i * j0, 1) = rational(i0 * j, 1)

Rule argument

name: int2rat-equal rotate: F subst: [j, i] → [i0 * j, i * j0]

Additional information

Used terms: i0 * j, i * j0