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Theorem int2bits-mod2

⊦ j < 0 → fillsgn(2, int2bits(j % 2)).rest = int2bits(j % 2)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: int2bits-zero, uint2bits-one, int2bits-neg-num,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-02
  - bitlista/mklist-num
  - int-div/mod2-neg-odd
  - list/bitlista/Two
  - bitopsaux/invert-zero
  - bitopsaux/inv-one-01
  - list/bitlista/c
  - list/bitlista/a
  - bitopsaux/succ-zero
  - list/bitlista/Last
  - bitopsaux/sgn-two-01
  - bitopsaux/fill-rec-one
  - bitlista/mklist-num-01
  - list-last/bitlista/mk-zero
  - list/bitlista/app
  - list/bitlista/c-07
  - list/bitlista/c-04