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Theorem sgn-append

⊦ ¬ (¬ boolvar) ∈ bits → sgn(boolvar ' + bits + bits0) = sgn(boolvar ' + bits0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: fill-sgn-01, sgn-last-01, sgn-last-diff, sgn-mklist-04,
Used by units in proved state: intops, int2bits,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 8
Used lemmas: sgn-rec,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/in-06
  - list/bitlista/c
  - list/bitlista/Nil
  - list/bitlista/a