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Theorem int2bits-mod2-neg

⊦ i ≤ 0 → int2bits(i % 2) = int2bits(i).last '

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
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-true, uint2bits-one, int2bits-neg-num, int2bits-rec-neg, int2bits-zero,
Used spec theorems:
- int-abs/Abs-neg
Used simplifier rules:
- list-last/bitlista/last-def
- int-div/mod-mult-neg
- int-basic1/minus-one
- int-abs/numls-02
- int-abs/neg-13
- int-abs/neg-06
- int-abs/Abs-pos
- int-abs/numlsledel
- int-basic2/add-zero
- int-mult/two-mone
- int-mult/associativity
- int-mult/commutativity
- bitopsaux/sgn-two-01
- list/bitlista/Last
- bitopsaux/succ-zero
- list/bitlista/a
- list/bitlista/c
- bitopsaux/inv-one-01
- bitopsaux/invert-zero
- list/bitlista/Two
- int-abs/lels-03
- int-basic2/add-c
- int-basic2/add-a
- int-abs/forward-le-02
- int-abs/zero-gels-03
- int-abs/forward-le-04
- int-abs/lels
- int-abs/anti
- list-last/bitlista/l
- list/bitlista/c-04
- int-div/div-elim-negpos