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Proof step 5 from proof short-mult-max (previous step)

0 < i, 65536 ≤ i * j, i < 256, j ≤ 256, 65536 < 256 * j, 0 < j ⊦ i = 0

User applied rule cut formula

And obtained the following new goals

Proof step 6:
65536 = 256 * 256, 0 < i, 65536 ≤ i * j, i < 256, j ≤ 256, 65536 < 256 * j, 0 < j ⊦ i = 0

Rule argument

fma: 65536 = 256 * 256

Additional information

Used simplifier rules: associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i; Used formulas: 65536 = 256 * 256