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Theorem bytes2bits-mklist-01

⊦ bytes2bits(mklist(i2b(~1), n)) = mklist(true, 8 * n)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas: byte2bits, bytes2bits-one, bytes2bits-append, bytes2bits-empty,
Used spec theorems:
- Used simplifier rules:
  - byte/num-ibbi
  - int2bits/int2bits-neg-num
  - int2bits/uint2bits-one
  - list/bitlista/Two
  - bitopsaux/invert-zero
  - bitopsaux/inv-one-01
  - list/bitlista/c
  - bitopsaux/succ-zero
  - list/bitlista/Last
  - bitopsaux/sgn-two-01
  - bitopsaux/fill-rec-one
  - list/bitlista/app-01
  - list/bitlista/app-03
  - list-last/bitlista/mk-last
  - list/bitlista/a
  - list/bitlista/app
  - bitlista/mklist-num-01
  - list-last/bitlista/mk-plus
  - nat-mult/mult-a
  - nat-mult/rsucc-02
  - nat-basic2/c
  - nat-basic2/a
  - list/bytelist/a
  - list-last/bytelist/mk-last
  - list-last/bytelist/mklist-one
  - list-last/bytelist/mk-plus
  - nat-basic2/succ
  - nat-mult/mult-c
  - list-last/bytelist/mk-zero
  - list-last/bitlista/mk-zero