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Theorem bits2uint-2pot

⊦ ¬ true ∈ bits → bits2uint(true ' + bits) = 2 ^ n→i(# bits)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bits2int-2pot, bits2int-nls, bits2int-ones-02, bits2int-rec-03, bits2uint-2pot-01, bits2uint-2pot-02, int2int-inj, int2uint-neg,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: bits2uint-zeros, bits2uint-one-03, bits2uint-split,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/add-c
  - int-basic2/add-a
  - int-basic2/eq
  - int-mult/commutativity
  - int-mult/associativity
  - int-mult/one
  - list-data/bitlista/size-01
  - list/bitlista/a
  - list/bitlista/app
  - list-data/bitlista/l