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Proof step 8 from proof zero-gr-add-02 (previous step)

i1 * j + i1 = i1 * (j + 1), 0 < i1 * j + i1, 0 < i1, 0 < i1 * j + i0, j < 0, i0 ≤ i1, 0 ≤ i0, i1 * j + i0 ≤ i1 * j + i1 ⊦ i1 = 0

User applied rule insert equation

And obtained the following new goals

Proof step 9:
j < 0, 0 < i1 * j + i0, 0 < i1, 0 < i1 * (j + 1), i1 * j + i0 ≤ i1 * (j + 1), 0 ≤ i0, i0 ≤ i1 ⊦ i1 = 0

Rule argument

pos: left 1 flags: discard

Additional information