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Proof step 1 from proof mult-split (conclusion)

⊦ i = i0 + i1 → ri + rational(i0, 1) * rj + rational(i1, 1) * rj = ri + rational(i, 1) * rj

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ rational(i0, 1) * rj + rational(i1, 1) * rj = rational(i0 + i1, 1) * rj

Rule argument

Additional information

Used simplifier rules: add-eq: ⊦ ri + rj = ri + rj0 ↔ rj = rj0;%add-asso: ⊦ (ri + rj) + rj0 = ri + rj + rj0;%add-comm: ⊦ ri + rj = rj + ri;