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Theorem uint2uint-pos

⊦ 0 ≤ i → bits2uint(uint2bits(i)) = i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2int-inj, int2uint-pos-01, uint2bits-2pot-03, uint2bits-2pot-04, uint2bits-sgn-2pot, uint2uint-neg,
Used by units in proved state: intops, bytes, byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 8
Used lemmas: bits2uint-zero, bits2uint-rec-02, bits2uint-one-02, uint2bits-zero, bits2uint-one-03, bits2uint-zeros-03, uint2bits-one, uint2bits-rec-01,
Used spec theorems:
- Used simplifier rules:
  - int-basic2/add-c
  - int-basic2/add-a
  - int-div/div2one
  - int-basic1/lf-02
  - int-div/two-even
  - int-basic1/lst
  - int-abs/lels-01
  - int-div/div-two-zero-01
  - intnat/labs
  - int-div/abs
  - int-abs/abs-16
  - int-div/num-ls
  - int-mult/le-same
  - int-mult/associativity
  - int-mult/commutativity
  - int-basic1/lf-03
  - int-div/mod-two
  - list/bitlista/Last
  - int-abs/lels
  - int-abs/anti
  - list/bitlista/Two
  - list/bitlista/a
  - int-abs/lels-02