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Proof step 7 from proof dist-rsplit (previous step)

∀ i1, j0. i1 * (j0 + i0 + 1) = i1 * j0 + i1 * (i0 + 1) ⊦ i * (j + i0) = i * j + i * i0

User applied rule all left

And obtained the following new goals

Proof step 8:
i * (j + i0 + 1) = i * j + i * (i0 + 1), ∀ i1, j0. i1 * (j0 + i0 + 1) = i1 * j0 + i1 * (i0 + 1) ⊦ i * (j + i0) = i * j + i * i0

Rule argument

pos: left 1 terms: i, j abort: F discard: F computed: F

Additional information

Used terms: i, j