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Theorem sgn-base-05

⊦ (bits.first ↔ ¬ bits.rest.first) ∧ 1 < # bits → sgn(bits) = bits

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: sgn-base-03,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/app-02-ant
  - list/bitlista/e
  - list/bitlista/c-08
  - list/bitlista/e-01
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/one
  - list/bitlista/a
  - list/bitlista/len-02
  - list/bitlista/len
  - list/bitlista/c
  - list-data/bitlista/l
  - nat-basic1/one
  - list-data/bitlista/elim-list-c