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Theorem sgn-sgn

⊦ sgn(sgn(bits)) = sgn(bits)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: sgn-base-01, sgn-base-02, sgn-one, sgn-rec-01, sgn-empty,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/app-01
  - list/bitlista/e-01
  - list-data/bitlista/elim-list-c
  - list/bitlista/c-04
  - list/bitlista/a
  - list/bitlista/app
  - list/bitlista/c