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Proof step 7 from proof modmod-add2-negpos-pos-01 (previous step)

i + i1 * j + j0 = i1 * j + i + j0, 0 < i1, 0 < j, 0 < i1 * j + j0, j0 < j, i + j0 < 0, i < 0, 0 ≤ i1, 0 ≤ j0, 0 ≤ i + i1 * j + j0, j ≤ i1 * j + j0 ⊦ (i + i1 * j + j0) % j = (i + j0) % j + j, (i + j0) % j = 0, j = 1

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 1 flags: discard

Additional information