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Theorem add-ones-lelen-01

⊦ ¬ false ∈ bits ∧ # bits ≤ # bits0 ∧ bits ≠ [] → bitsand(bits0, bits) = bits0

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: band-011x-is-lastn, bitsand-cast, bor-2pot-plus, bor-2pot-plus-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 2
Used lemmas: add-ones-lelen, and-com,
Used spec theorems:
- Used simplifier rules:
  - list-data/bitlista/size-01
  - nat/lez-01
  - nat/lels-01
  - nat/fle
  - nat-basic1/f
  - nat/fle-01
  - list-data/bitlista/l
  - nat-basic1/ref-1