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Proof step 2 from proof est-4-big (previous step)

0 < i, 2 * i < j * j, 2 < i, j ≤ i, (2 * i) / 3 < j ⊦ (2 * i) / j = 2 * i / j

User applied rule cut formula

And obtained the following new goals

Proof step 3:
j ≤ 2 * i % j, 0 < i, 2 * i < j * j, 2 < i, j ≤ i, (2 * i) / 3 < j ⊦ (2 * i) / j = 2 * i / j
Proof step 6:
0 < i, 2 * i < j * j, 2 < i, j ≤ i, (2 * i) / 3 < j ⊦ j ≤ 2 * i % j, (2 * i) / j = 2 * i / j

Rule argument

fma: j ≤ 2 * i % j

Additional information

Used formulas: j ≤ 2 * i % j