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Theorem bits2uint-zeros-02

⊦ ¬ true ∈ bits → bits2uint(bits + bits0) = bits2uint(bits0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: bits2int-ones-02, bits2int-sign, bits2int-zeros-01, bits2uint-mklist, bits2uint-zeros-03,
Used by units in proved state: intops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: bits2uint-zeros, bits2uint-base, bits2uint-split,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/add-c
  - int-basic2/add-a
  - int-mult/commutativity
  - int-mult/associativity
  - int-pot/two-zero-01
  - int-mult/zero-eq
  - int-basic2/eq
  - list/bitlista/a
  - list/bitlista/app
  - list-data/bitlista/l