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Proof step 2 from proof denom-neg (previous step)

j < 0 ⊦ 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:
j < 0 ⊦ 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)