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Proof step 8 from proof int2bits-exneg (previous step)

uint2bits(~ i) = false ' + true ' + bits, false ∈ uint2bits(~ i), i < 0, i < ~1 ⊦ bits = [], ∃ bits. sgn(bitsinvert(uint2bits(~ i)) +1) = true ' + false ' + bits

User applied rule exists right

And obtained the following new goals

Proof step 9:
uint2bits(~ i) = false ' + true ' + bits, false ∈ uint2bits(~ i), i < 0, i < ~1 ⊦ bits = [], sgn(bitsinvert(uint2bits(~ i)) +1) = true ' + false ' + sgn(bitsinvert(false ' + true ' + bits) +1).rest.rest, ∃ bits. sgn(bitsinvert(uint2bits(~ i)) +1) = true ' + false ' + bits

Rule argument

pos: right 2 terms: sgn(bitsinvert(false ' + true ' + bits) +1).rest.rest abort: F discard: F computed: F

Additional information

Used terms: sgn(bitsinvert(false ' + true ' + bits) +1).rest.rest