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Proof step 3 from proof short-nls (previous step)

s2i(sho) < 32768, 65536 * i < s2i(sho), 0 < i ⊦

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: 32768 < 65536 * i

Additional information

Used simplifier rules: ⊦ 0 < i ∧ 0 ≤ j → ((* j) < (* i) * i0 ↔ j / i < i0);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used formulas: 32768 < 65536 * i