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Proof step 5 from proof transitivity (previous step)

rj < rj0, rational(i, j) < rj, 0 < j ⊦ rational(i, j) < rj0

User applied rule insert lemma

And obtained the following new goals

Proof step 6:
⊦ ∃ i, j. ri = rational(i, j) ∧ 0 < j
Proof step 7:
∃ i, j. rj = rational(i, j) ∧ 0 < j, rj < rj0, rational(i, j) < rj, 0 < j ⊦ rational(i, j) < rj0

Rule argument

name: exrat-01 subst: [ri] → [rj]

Additional information

Used terms: rj