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Proof step 7 from proof bits2bits-def (previous step)

⊦ int2bits(~ bits2uint((false ' + bitsinvert(bits0))+1)) = sgn(true ' + bits0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ i < 0 → int2bits(i) = sgn(bitsinvert(uint2bits(abs(i))) +1)
Proof step 9:
¬ ~ bits2uint((false ' + bitsinvert(bits0))+1) < 0 ⊦ int2bits(~ bits2uint((false ' + bitsinvert(bits0))+1)) = sgn(true ' + bits0)
Proof step 12:
~ bits2uint((false ' + bitsinvert(bits0))+1) < 0 ⊦ sgn(bitsinvert(uint2bits(abs(~ bits2uint((false ' + bitsinvert(bits0))+1)))) +1) = sgn(true ' + bits0)

Rule argument

name: int2bits-neg rotate: F subst: [i] → [~ bits2uint((false ' + bitsinvert(bits0))+1)]

Additional information

Used terms: ~ bits2uint((false ' + bitsinvert(bits0))+1)