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Theorem uint2bits-first-04

⊦ j < 0 → ¬ uint2bits(~ j).first

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-rec-2pot-neg-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: uint2bits-first-01, uint2bits-onein-01, uint2bits-empty-01,
Used spec theorems:
- Used simplifier rules:
  - list-data/bitlista/elim-list-c
  - list/bitlista/a
  - list/bitlista/in-14
  - list/bitlista/c
  - int-abs/negle-07
  - int-basic2/add-zero
  - int-basic2/add-a
  - int-basic2/add-c
  - int-abs/lels-01
  - int-basic1/ls-01