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Theorem int2bits-rec-neg-03

⊦ j % 2 ≠ 0 ∧ j < ~1 → int2bits(j) = int2bits(j / 2 - 1) + true '

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: 2
Proof steps: 4
Used lemmas: int2bits-inj, uint2bits-one, int2bits-neg-num, int2bits-rec-neg,
Used spec theorems:
- Used simplifier rules:
  - int-abs/lels-02
  - int-abs/abs-08
  - int-abs/neg-13
  - int-abs/numls-02
  - int-basic1/minus-one
  - int-basic2/add-a
  - int-basic2/add-c
  - int-abs/forward-le-02
  - int-abs/forward-le-04
  - int-abs/minus-add
  - int-abs/minus-ass
  - int-mult/pred-rmerge
  - int-mult/associativity
  - int-mult/commutativity
  - int-div/div-mult-03
  - int-abs/Sub-def
  - int-mult/two-zero
  - int-div/div-elim-negpos
  - int-abs/sub-eq
  - list/bitlista/app-03
  - int-div/mod2-neg-odd
  - int-basic1/numlsf
  - int-abs/lels
  - int-abs/lels-03
  - list/bitlista/Two
  - bitopsaux/invert-zero
  - bitopsaux/inv-one-01
  - list/bitlista/c
  - list/bitlista/a
  - bitopsaux/succ-zero
  - list/bitlista/Last
  - bitopsaux/sgn-two-01
  - list/bitlista/app-04
  - list/bitlista/e