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Proof step 6 from proof ushort-max-02 (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 7:
256 ≤ i, 0 < i, 0 ≤ i, 0 ≤ j, i * 256 + j < 65536 ⊦ 256 * 256 + j < 65536

Rule argument

fma: 256 * 256 + j < 65536

Additional information

Used simplifier rules: ⊦ i + (* j) < (* j0) ↔ i < j0 - j;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i; Used formulas: 256 * 256 + j < 65536