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Proof step 6 from proof dist-rsplit (previous step)

j1 = i0 +1, ∀ i, j. i * (j + j1) = i * j + i * j1 ⊦ i * (j + j1)-1 = i * j + i * i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: add-c: ⊦ i + j = j + i; from specification int-basic2%pred: ⊦ (i + 1)-1 = i; from specification int-basic2%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%succ-01: ⊦ i +1 = i + 1; from specification int-basic2