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Proof step 11 from proof int2bits-len-add (previous step)

~(j * 2 ^ i + j0) = ~ j * 2 ^ i + ~ j0, 0 ≤ i, j < 0, j0 < 0, 0 < 2 ^ i + j0, j * 2 ^ i + j0 ≤ 0 ⊦ # uint2bits(~(j * 2 ^ i + j0)) = # int2bits(~ j) + i→n(i)

User applied rule insert equation

And obtained the following new goals

Proof step 12:
0 ≤ i, j < 0, j0 < 0, 0 < 2 ^ i + j0, j * 2 ^ i + j0 ≤ 0 ⊦ # uint2bits(~ j * 2 ^ i + ~ j0) = # int2bits(~ j) + i→n(i)

Rule argument

pos: left 1 flags: discard

Proof step 11 from proof int2bits-len-add (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information