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Proof step 2 from proof negate (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ ri = rj ↔ ri.num = rj.num ∧ ri.denom = rj.denom
Proof step 4:
0 < j ⊦ rational(~ i, j).num = (~ rational(i, j)).num ∧ rational(~ i, j).denom = (~ rational(i, j)).denom

Rule argument

name: Equality rotate: F subst: [rj, ri] → [~ rational(i, j), rational(~ i, j)]

Additional information

Used terms: ~ rational(i, j), rational(~ i, j)