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Proof step 4 from proof dist-rsplit (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ i, j. i * (j + j1) = i * j + i * j1 ⊦ i * (j + j1)-1 = i * j + i * j1 -1

Rule argument

Additional information

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