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Proof step 8 from proof band-011x-is-unsigned-03 (previous step)

2 ^ n→i(1 + # int2bits(j) - 2) < abs(j) ⊦ band(j, 2 ^ n→i(# int2bits(j)) - 1) = bits2uint(int2bits(j))

User applied rule cut formula

And obtained the following new goals

Proof step 9:
1 + # int2bits(j) - 2 = # int2bits(j) - 1, 2 ^ n→i(1 + # int2bits(j) - 2) < abs(j) ⊦ band(j, 2 ^ n→i(# int2bits(j)) - 1) = bits2uint(int2bits(j))
Proof step 21:
2 ^ n→i(1 + # int2bits(j) - 2) < abs(j) ⊦ 1 + # int2bits(j) - 2 = # int2bits(j) - 1, band(j, 2 ^ n→i(# int2bits(j)) - 1) = bits2uint(int2bits(j))

Rule argument

fma: 1 + # int2bits(j) - 2 = # int2bits(j) - 1

Additional information

Used formulas: 1 + # int2bits(j) - 2 = # int2bits(j) - 1