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Theorem sgn-base-04

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: sgn-rec, sgn-one, sgn-base-03,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/in-06
  - list/bitlista/e-01
  - list/bitlista/c
  - list-data/bitlista/elim-list-c
  - list/bitlista/c-04
  - list/bitlista/a
  - list/bitlista/app