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Theorem int2bits-sgn-02

⊦ j ≠ 0 ∧ j ≠ ~1 → sgn(int2bits(j) + bits) = int2bits(j) + bits

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-add-low,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: uint2bits-sgn-02, uint2bits-falsein, int2bits-neg, int2bits-pos,
Used spec theorems:
- bitopsaux/sgn-append-01
Used simplifier rules:
- int-abs/neg-07
- int-abs/numls-03
- int-abs/lels
- int-abs/mone-08
- int-basic2/add-a
- int-basic2/add-c
- bitopsaux/succ-truein-01
- bitopsaux/sgn-sgn-01
- int-abs/abs-08
- int-abs/forward-le-02
- int-abs/lels-01
- int-abs/lels-02
- list/bitlista/a
- list/bitlista/app-01