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Proof step 1 from proof dist-sub-split (conclusion)

⊦ (i - j) * j0 = i * j0 - j * j0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ i * j0 = (i - j) * j0 + j * j0

Rule argument

Additional information

Used simplifier rules: ⊦ i - j = i0 ↔ i = i0 + j; (s)