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Proof step 4 from proof fits-law-sub (previous step)

¬(~32768 ≤ b2i(by1) - b2i(by2) ∧ b2i(by1) - b2i(by2) < 32768) ⊦ b2i(by1) = s2i(i2s(b2i(by1) - b2i(by2))) + b2i(by2)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i - j < i0 ↔ i < j + i0;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i - j ≤ i0 ↔ i ≤ j + i0;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;%i < 0 ⊦ (* i) + j = j - ~ i;% ⊦ i ≤ j - i0 ↔ i + i0 ≤ j;