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Proof step 9 from proof int2int-rest-01 (previous step)

int2bits(j) = true ' + false ' + bits, j < 0, j < ~1 ⊦ j = 0, bits2uint(bits) = 2 ^ (1 + n→i(# bits)) + j

User applied rule cut formula

And obtained the following new goals

Proof step 10:
bits2uint(int2bits(j)) = bits2uint(true ' + false ' + bits), int2bits(j) = true ' + false ' + bits, j < 0, j < ~1 ⊦ j = 0, bits2uint(bits) = 2 ^ (1 + n→i(# bits)) + j

Rule argument

fma: bits2uint(int2bits(j)) = bits2uint(true ' + false ' + bits)

Additional information

Used formulas: bits2uint(int2bits(j)) = bits2uint(true ' + false ' + bits)