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Proof step 5 from proof mod-div-ls (previous step)

j0 < j, 0 < j, 0 < i1, 0 ≤ i0, i1 ≤ (i0 + i1 * j0) / j, i0 < i1, 0 ≤ j0, 0 ≤ i2, i0 < (i0 + i1 * j0) / j, 0 < (i0 + i1 * j0) / j ⊦

User applied rule cut formula

And obtained the following new goals

Proof step 6:
i1 ≤ (i1 + i1 * j0) / j, j0 < j, 0 < j, 0 < i1, 0 ≤ i0, i1 ≤ (i0 + i1 * j0) / j, i0 < i1, 0 ≤ j0, 0 ≤ i2, i0 < (i0 + i1 * j0) / j, 0 < (i0 + i1 * j0) / j ⊦
Proof step 18:
j0 < j, 0 < j, 0 < i1, 0 ≤ i0, i1 ≤ (i0 + i1 * j0) / j, i0 < i1, 0 ≤ j0, 0 ≤ i2, i0 < (i0 + i1 * j0) / j, 0 < (i0 + i1 * j0) / j ⊦ i1 ≤ (i1 + i1 * j0) / j

Rule argument

fma: i1 ≤ (i1 + i1 * j0) / j

Additional information

Used formulas: i1 ≤ (i1 + i1 * j0) / j