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Theorem int2bits-len-pos-pred

⊦ ¬(∃ i. 2 ^ i = j) ∧ 0 ≤ j → # int2bits(j - 1) = # int2bits(j)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: int2bits-add-low, int2bits-len-neg-02, int2bits-len-pos-suc,
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-len-pos, int2bits-zero, uint2bits-one, int2bits-neg-num,
Used spec theorems:
- int-pot/exin2pot
Used simplifier rules:
- int-abs/sub-le-01
- int-abs/succ-01
- int-abs/sub-ls
- int-abs/succ-02
- int-abs/lels-01
- int-abs/lels-04
- int-basic1/ls-01
- int-abs/lels-03
- int-div/nummult-ls-02
- int-mult/commutativity
- int-mult/associativity
- int-abs/zero-gels-04
- int-pot/pot2-pos
- int-mult/zero-gr
- int-abs/forward-le-05
- int-basic1/forward-pos
- int-basic2/add-c
- int-basic2/add-a
- int-pot/succ
- int-abs/lels-02
- list/bitlista/len-02
- 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/anti
- int-abs/lels
- int-abs/forward-le-01