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Theorem uint2bits-zero-01

0 ≤ i ⊦ uint2bits(i) = false ' ↔ i = 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-eq, int2bits-leading-sgn, int2bits-less-2pot, uint2bits-2pot-05, uint2bits-add-high, uint2bits-expos0, uint2bits-expos1, uint2bits-falsein, uint2bits-inj, uint2bits-mod2pot, uint2bits-onein, uint2bits-second, uint2bits-sgn,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: uint2bits-empty, uint2bits-one, uint2bits-rec-01, uint2bits-zero,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/c-04
  - int-div/div-two-zero-01
  - int-abs/lels-01
  - int-basic1/lst
  - list/bitlista/c-05
  - list/bitlista/Last
  - int-abs/lels
  - int-abs/lels-02
  - int-basic1/ls-01
  - int-basic1/lf-02
  - list/bitlista/Two
  - list/bitlista/c-03
  - list/bitlista/e
  - list/bitlista/a