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Theorem int2bits-neg-num

i < 0 ⊦ int2bits((* i)) = sgn(bitsinvert(uint2bits(abs(i))) +1)

Type: A user defined theorem
Validity: The proof is valid.
Features: automatic, localsimp,
Comment:
Used by: bits2bits-mone, int2bits-add-high, int2bits-add-low, int2bits-falsein-02, int2bits-fill-rest, int2bits-lelen-04, int2bits-len-eq, int2bits-len-neg-01, int2bits-len-pos-pred, int2bits-lslen-04, int2bits-lslen-05, int2bits-lslen-07, int2bits-lslen-08, int2bits-mod2, int2bits-mod2-len, int2bits-mod2-neg, int2bits-mone, int2bits-mone-01, int2bits-mone-02, int2bits-ones, int2bits-rec-neg-01, int2bits-rec-neg-03, int2bits-rest, int2bits-true, int2int-lastn-negneg, int2int-rest-01, uint2bits-add-high, uint2bits-add-high-01, uint2bits-add-low, uint2bits-add-low-01,
Used by units in proved state: intops, bytes, byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: int2bits-neg,
Used spec theorems:
- Used simplifier rules:
  - int-abs/abs-08