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Proof step 11 from proof short-max-11 (previous step)

65536 * i + s2i(sho) < 32768, 0 < i ⊦

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: 65536 * i + ~32768 < 32768

Additional information

Used simplifier rules: i < 0 ⊦ (* i) + j = j - ~ i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ i - j < i0 ↔ i < j + i0;% ⊦ 0 < i ∧ 0 ≤ j → ((* i) * i0 < (* j) ↔ i0 < (i + j - 1) / i);% ⊦ i < 1 ↔ i ≤ 0;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used formulas: 65536 * i + ~32768 < 32768