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Theorem uint2bits-onein

⊦ 0 < j → true ∈ uint2bits(j)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-expos, int2bits-neg-03, int2bits-rec-2pot-neg-02, int2bits-truein, int2bits-truein-01, uint2bits-expos1, uint2bits-falsein, uint2bits-onein-01, uint2bits-sgn, uint2bits-sgn-02, uint2bits-sgn-2pot, uint2bits-sgn-false-01, uint2bits-sgn-first, uint2int-rest,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: uint2bits-zero-01, uint2bits-empty, uint2bits-second,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/neq
  - list/bitlista/app
  - list/bitlista/in-17
  - int-basic1/lf-03
  - int-basic1/lf-02
  - list/bitlista/a
  - list/bitlista/in-14
  - list/bitlista/c
  - int-basic1/ls-01
  - int-abs/lels-01
  - list-data/bitlista/elim-list-c
  - int-abs/lels-03
  - int-abs/lels