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Proof step 9 from proof negate (previous step)

0 < j ⊦ rational(i, j).num + (~ rational(i, j)).num = 0 ∧ rational(i, j).denom = (~ rational(i, j)).denom

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ ~ ri = 0r - ri
Proof step 11:
0 < j ⊦ rational(i, j).num + (0r - rational(i, j)).num = 0 ∧ rational(i, j).denom = (0r - rational(i, j)).denom

Rule argument

name: neg-def rotate: F subst: [ri] → [rational(i, j)]

Additional information

Used terms: rational(i, j)