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Proof step 2 from proof totality (previous step)

⊦ ri = rj, rj < ri, ri < rj

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ ∃ i, j. ri = rational(i, j) ∧ 0 < j
Proof step 4:
∃ i, j. ri = rational(i, j) ∧ 0 < j ⊦ ri = rj, rj < ri, ri < rj

Rule argument

name: exrat-01 subst: [ri] → [ri]

Additional information

Used terms: ri