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Theorem uint2bits-pos-num

1 < i ⊦ uint2bits((* i)) = uint2bits(i / 2) + (i % 2 = 1)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-011x, int2bits-add-high, int2bits-add-low, int2bits-len-2-32-1, int2bits-lslen-08, int2bits-restsgn, int2int-neg, uint2bits-add-low, uint2bits-mod2pot, uint2bits-pred, uint2bits-restsgn, uint2bits-succ,
Used by units in proved state: intops, bytes, byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: uint2bits-rec,
Used spec theorems:
- Used simplifier rules:
  - int-abs/numlsf-01
  - list/bitlista/Last
  - list/bitlista/app-01
  - list/bitlista/a