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Proof step 12 from proof fits-law-shr-01 (previous step)

¬ ¬ s2i(sho) i>> band(i, 31) < 0, abs(s2i(sho) i>> band(i, 31)) ≤ s2i(sho), 0 < s2i(sho) ⊦ s2i(sho) i>> band(i, 31) = s2i(i2s(s2i(sho) i>> band(i, 31)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < j ∧ j ≤ j0 → i < j0; (forward)% ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ ~ i ≤ j ↔ 0 ≤ i + j;% ⊦ i < 0 → abs(i) = ~ i;