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Proof step 7 from proof uint2bits-add-low-01 (previous step)

j * 2 ^ i + j0 = (j - 1) * 2 ^ i + 2 ^ i + j0, 0 < j, j0 < 0, 0 < i, 0 ≤ j0 + 2 ^ (i - 1) ⊦ j = 1, uint2bits(j * 2 ^ i + j0) = uint2bits(j - 1) + fillsgn(i→n(i), int2bits(j0))

User applied rule insert equation

And obtained the following new goals

Proof step 8:
0 < j, j0 < 0, 0 < i, 0 ≤ j0 + 2 ^ (i - 1) ⊦ j = 1, uint2bits((j - 1) * 2 ^ i + 2 ^ i + j0) = uint2bits(j - 1) + fillsgn(i→n(i), int2bits(j0))

Rule argument

pos: left 1 flags: discard

Proof step 7 from proof uint2bits-add-low-01 (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information