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Theorem int2bits-2pot-01

0 ≤ i ⊦ int2bits(~(2 ^ i)) = true ' + mklist(false, i→n(i))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bits2bits-2pot, bits2bits-2pot-01, int2bits-add-low, int2bits-lelen-07, int2bits-len-abs, int2bits-lslen-07, int2bits-truein-01, uint2bits-add-high,
Used by units in proved state: intops, bytes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: uint2bits-2pot, int2bits-neg,
Used spec theorems:
- Used simplifier rules:
  - int-pot/grz
  - int-abs/neg-05
  - int-abs/abs-neg
  - int-pot/abs-2pot
  - int-abs/lels-04
  - int-abs/lels-01
  - bitopsaux/invert-zero
  - bitopsaux/invert-one
  - bitopsaux/inv-mklist
  - list/bitlista/c
  - list/bitlista/a
  - bitopsaux/succ-prefix
  - bitopsaux/succ-mklist
  - bitopsaux/sgn-rec
  - bitopsaux/sgn-2pot
  - list/bitlista/app-01