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Theorem int2bits-len-abs

⊦ ¬ # int2bits(j) + 1 < # int2bits(~ j)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-len-abs-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: int2bits-zero, int2bits-2pot, int2bits-2pot-01, int2bits-len-neg-02, int2bits-not-empty,
Used spec theorems:
- Used simplifier rules:
  - int-abs/neg-03
  - int-abs/lels-04
  - int-abs/lels-01
  - intnat/labs
  - int-basic1/irref
  - int-abs/forward-le-02
  - int-abs/zero-gels-03
  - int-basic2/add-c
  - int-basic2/add-a
  - int-abs/lels-03
  - int-abs/zero-gels-04
  - int-abs/anti
  - list/bitlista/len-02
  - int-abs/lels-02
  - int-abs/forward-le-05
  - int-pot/pot2-pos
  - int-pot/two-zero
  - list/bitlista/len
  - list-last/bitlista/mk-len
  - list/bitlista/a
  - nat-basic2/l
  - int-abs/neg-12
  - int-abs/neg-05
  - int-abs/neg-02
  - int-abs/lels
  - int-abs/negeq
  - list-data/bitlista/l
  - nat-basic1/f
  - nat-basic2/l-02
  - nat-basic2/a
  - nat-basic2/c