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Theorem uint2bits-empty

0 ≤ i ⊦ uint2bits(i) ≠ []

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-2pot-03, int2bits-add-high, int2bits-add-low, int2bits-leading-sgn, int2bits-len-mon, int2bits-len-one, int2bits-less-2pot, int2bits-neg-03, int2bits-not-empty, int2bits-rec-2pot-neg-02, int2bits-rest, int2int-inj, ubits2ubits-def, uint2bits-2potrec, uint2bits-empty-01, uint2bits-eq, uint2bits-expos0, uint2bits-falsein, uint2bits-falsein-01, uint2bits-first, uint2bits-inj, uint2bits-len-add, uint2bits-len-max, uint2bits-len-mon, uint2bits-len-mon-01, uint2bits-len-mon-02, uint2bits-mod2pot, uint2bits-not-one, uint2bits-onein, uint2bits-rest, uint2bits-restsgn, uint2bits-second, uint2bits-sgn, uint2bits-sgn-false, uint2bits-zero-01, uint2uint-inv-01,
Used by units in proved state: intops, bytes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: uint2bits-zero, uint2bits-one, uint2bits-rec-01,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/Last
  - int-abs/lels
  - int-abs/anti
  - list/bitlista/Two
  - list/bitlista/app-02-ant
  - list/bitlista/e
  - list/bitlista/a
  - int-abs/lels-02