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Proof step 16 from proof intshiftleft-is-mult-01 (previous step)

¬(j < 0 ∧ ¬ false ∈ int2bits(31).rest ∧ 0 ≤ 31), i < 0 ⊦ band(j, 31) = 0, (i + 1) * 2 ^ abs(band(j, 31)) = 2 ^ abs(band(j, 31)) + i * 2 ^ band(j, 31)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
i < 0 ⊦ band(j, 31) = 0, (i + 1) * 2 ^ abs(band(j, 31)) = 2 ^ abs(band(j, 31)) + i * 2 ^ band(j, 31), ¬ 0 ≤ j ∧ ¬ false ∈ int2bits(31).rest

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ i < j ↔ j ≤ i;