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Proof step 9 from proof equality-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ rational(~ i, j) = ~ rational(i, j)
Proof step 11:
~ rational(i, j) = rational(~ i0, j0), i0 < 0, i * j0 = i0 * j, 0 < j, 0 < j0, i < 0 ⊦ rational(i, j) = rational(i0, j0)

Rule argument

name: negate-01 rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i