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Proof step 4 from proof intshiftleft-is-mult (previous step)

j < 32, 0 ≤ j ⊦ bits2int(int2bits(i) + mklist(false, i→n(band(j, 31)))) = i * 2 ^ j

User applied rule cut formula

And obtained the following new goals

Proof step 5:
31 = 2 ^ 5 - 1, j < 32, 0 ≤ j ⊦ bits2int(int2bits(i) + mklist(false, i→n(band(j, 31)))) = i * 2 ^ j

Rule argument

fma: 31 = 2 ^ 5 - 1

Additional information

Used formulas: 31 = 2 ^ 5 - 1