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Proof step 11 from proof int2uint-neg (previous step)

uint2bits(~ j) = false ' + true ' + bits, false ∈ uint2bits(~ j), j < 0 ⊦ bits2uint(sgn(bitsinvert(uint2bits(~ j)) +1)) = 2 ^ n→i(# sgn(bitsinvert(uint2bits(~ j)) +1)) + j, 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 < 0 ⊦ bits2uint(sgn(bitsinvert(false ' + true ' + bits) +1)) = 2 ^ n→i(# sgn(bitsinvert(false ' + true ' + bits) +1)) + j, true ∈ (false ' + true ' + bits).rest.rest

Rule argument

pos: left 1 flags:

Proof step 11 from proof int2uint-neg (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information