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Proof step 38 from proof int2bits-len-neg (previous step)

~ j = 2 ^ i * 2, 0 = 2 ^ i * 2 + j, 0 ≤ i, 0 < 2 ^ i, j + 2 ^ i < 0, j < 0, j + 1 < 2 ^ i, j < i, j + 2 ^ i < i, j < ~1, j < 2 ^ i, true ∈ uint2bits(~ j).rest.rest, 2 ^ i + j < 0 ⊦ # uint2bits(~ j) = i→n(i + 2)

User applied rule insert equation

And obtained the following new goals

Proof step 39:
0 = 2 ^ i * 2 + j, 0 ≤ i, 0 < 2 ^ i, j + 2 ^ i < 0, j < 0, j + 1 < 2 ^ i, j < i, j + 2 ^ i < i, j < ~1, j < 2 ^ i, true ∈ uint2bits(2 ^ i * 2).rest.rest, 2 ^ i + j < 0 ⊦ # uint2bits(2 ^ i * 2) = i→n(i + 2)

Rule argument

pos: left 1 flags: discard

Proof step 38 from proof int2bits-len-neg (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information