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Proof step 43 from proof intshiftleft-is-mult-01 (previous step)

¬(j < 0 ∧ ¬ false ∈ int2bits(31).rest ∧ 0 ≤ 31), 0 < i, j < 0 ⊦ band(j, 31) = 0, i = 0, 2 ^ abs(band(j, 31)) = 2 ^ band(j, 31)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
0 < i, j < 0, false ∈ int2bits(31).rest ⊦ band(j, 31) = 0, i = 0, 2 ^ abs(band(j, 31)) = 2 ^ band(j, 31)

Rule argument

Additional information

Used simplifier rules: ⊦ i < j → (¬ ¬ j ≤ i ↔ false);% ⊦ ¬ i < j ↔ j ≤ i;