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Proof step 3 from proof mod-zero-one (previous step)

0 < j, 0 ≤ i, 0 ≤ i0 ⊦ (i % j + i0 % j) / j = 0, (i % j + i0 % j) / j = 1

User applied rule cut formula

And obtained the following new goals

Proof step 4:
0 < j, 0 ≤ i0, 0 ≤ i, (i % j + i0 % j) / j ≥ 0 ⊦ (i % j + i0 % j) / j = 1, (i % j + i0 % j) / j = 0
Proof step 18:
0 < j, 0 ≤ i0, 0 ≤ i ⊦ (i % j + i0 % j) / j = 1, (i % j + i0 % j) / j = 0, (i % j + i0 % j) / j ≥ 0

Rule argument

fma: (i % j + i0 % j) / j ≥ 0

Additional information

Used formulas: (i % j + i0 % j) / j ≥ 0