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Theorem int2bits-rec-neg-01

⊦ j < ~1 → int2bits(j) = int2bits((j - 1) / 2) + int2bits(j % 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: 2
Proof steps: 4
Used lemmas: int2bits-true, int2bits-eq, uint2bits-one, int2bits-neg-num, int2bits-rec-neg,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/app-01
  - 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