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Theorem uint2bits-sgn

⊦ 0 < i → sgn(uint2bits(i)) = uint2bits(i)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-sgn, uint2bits-sgn-false, uint2bits-sgn-false-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas: uint2bits-onein, uint2bits-zero-01, uint2bits-second, uint2bits-empty, uint2bits-first,
Used spec theorems:
- Used simplifier rules:
  - bitopsaux/sgn-base-02
  - list/bitlista/app-01
  - list/bitlista/in-13
  - list/bitlista/e-01
  - list/bitlista/app
  - int-basic1/lf-03
  - int-basic1/lf-02
  - list/bitlista/eq-05
  - int-abs/lels-03
  - int-abs/lels
  - list/bitlista/a
  - list/bitlista/in-14
  - list/bitlista/c
  - list-data/bitlista/elim-list-c
  - int-basic1/ls-01
  - int-abs/lels-01