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Theorem uint2bits-div2pot-01

0 ≤ i, 0 < j, j % 2 ^ i = 0 ⊦ uint2bits(j) = uint2bits(j / 2 ^ i) + mklist(false, i→n(i))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: uint2bits-2pot-01, uint2bits-div2pot,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/app-01
  - list/bitlista/a
  - list-last/bitlista/blastN-mklist
  - int-abs/anti
  - int-basic1/lf-02
  - int-abs/leone
  - int-mult/le-same-01
  - int-mult/zero-ge
  - int-basic1/ls-01
  - int-div/div-elim-pos
  - int-abs/lels-03
  - int-abs/lels
  - int-pot/grz
  - int-basic2/add-zero
  - int-basic2/add-a
  - int-basic2/add-c
  - int-mult/ls-same
  - int-abs/lsone
  - int-mult/associativity
  - int-mult/commutativity
  - int-mult/zero-gr
  - int-div/div-elim
  - int-div/mod-less-01
  - int-abs/numlsf-01
  - int-basic1/trans
  - int-basic1/lf-01
  - int-basic1/lf-03
  - int-abs/lels-04
  - int-abs/lels-01