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Theorem succ-falsein-02

⊦ bits ≠ [] → (false ∈ bits +1 ↔ ¬(¬ bits.last ∧ ¬ false ∈ bits.butlast))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: succ-rec-02, succ-zero-03,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/Last
  - list/bitlista/in-append
  - list/bitlista/in-17
  - list/bitlista/a
  - list-data/bitlista/l