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Proof step 7 from proof int2bits-bits2unit-01 (previous step)

0 ≤ bits2uint(sgn(bitsinvert(uint2bits(~ i)) +1)), i < 0 ⊦ uint2bits(bits2uint(sgn(bitsinvert(uint2bits(~ i)) +1))) = sgn(false ' + sgn(bitsinvert(uint2bits(~ i)) +1))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ uint2bits(bits2uint(bits)) = sgn(false ' + bits)

Rule argument

name: ubits2ubits-def rotate: F subst: [bits] → [sgn(bitsinvert(uint2bits(~ i)) +1)]

Additional information

Used terms: sgn(bitsinvert(uint2bits(~ i)) +1)