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Proof step 11 from proof negate-01 (previous step)

j < 0 ⊦ j = 0, rational(~ i, j) = ~ rational(i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ j < 0 → rational(i, j) = rational(~ i, abs(j))
Proof step 13:
j < 0, j < 0 ⊦ j = 0, rational(~ ~ i, abs(j)) = ~ rational(i, j)

Rule argument

name: denom-neg rotate: F subst: [j, i] → [j, ~ i]

Additional information

Used terms: j, ~ i