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Theorem bits2int-rec-false

⊦ ¬ boolvar ∧ bits ≠ [] → bits2int(bits + boolvar ') = bits2int(bits) * 2

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: bits2int-pos, bits2uint-zeros-03, bits2uint-zero, bits2int-neg, bits2int-pos-02,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/e-01
  - list/bitlista/e-02
  - int-mult/eq-pos
  - int-mult/commutativity
  - list/bitlista/c
  - bitopsaux/invert-one
  - bitopsaux/inv-append
  - bitopsaux/inv-false
  - bitopsaux/succ-rec
  - list/bitlista/Last
  - int-mult/minus-left
  - int-mult/associativity
  - int-abs/neg-12
  - list-data/bitlista/elim-list-c
  - list/bitlista/e
  - list/bitlista/app-02-ant
  - list/bitlista/a
  - list/bitlista/first-01