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

uint2bits(~ j) = false ' + true ' + bits, false ∈ uint2bits(~ j), j + 1 < 2 ^ i, j < i, 0 < 2 ^ i, 0 ≤ i, 0 ≤ 2 ^ i * 2 + j, j + 2 ^ i < 0, j + 2 ^ i < i, j < ~1, j < 0, j < 2 ^ i ⊦ bits = [], # sgn(bitsinvert(uint2bits(~ j)) +1) = i→n(i + 2), true ∈ uint2bits(~ j).rest.rest

User applied rule insert equation

And obtained the following new goals

Proof step 12:
uint2bits(~ j) = false ' + true ' + bits, false ∈ false ' + true ' + bits, j + 1 < 2 ^ i, j < i, 0 < 2 ^ i, 0 ≤ i, 0 ≤ 2 ^ i * 2 + j, j + 2 ^ i < 0, j + 2 ^ i < i, j < ~1, j < 0, j < 2 ^ i ⊦ bits = [], # sgn(bitsinvert(false ' + true ' + bits) +1) = i→n(i + 2), true ∈ (false ' + true ' + bits).rest.rest

Rule argument

pos: left 1 flags:

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

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information