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Theorem int2bits-lslen-08

⊦ ¬ # int2bits(j) + 1 < # int2bits(j - 1)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: int2bits-lslen-09,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 13
Proof steps: 25
Used lemmas: int2bits-2pot-02, int2bits-len-pos, int2bits-zero, uint2bits-pos-num, uint2bits-one, int2bits-neg-num, int2bits-len-neg, int2bits-not-empty,
Used spec theorems:
Used simplifier rules:
- int-abs/succ-02
- int-pot/two-zero
- int-mult/ls-same-01
- list-last/bitlista/mk-len
- int-abs/abs-12
- int-basic2/ls
- int-div/nummult-ls-02
- int-abs/forward-le-05
- int-basic1/forward-pos
- int-abs/lels-02
- nat-basic2/l
- intnat/labs
- int-abs/absle
- int-basic1/irref
- int-abs/numadd-01
- intnat/abs-zero
- int-mult/numle
- int-mult/zero-ge-01
- int-pot/two-lez
- int-mult/Mult-zero
- int-mult/numls-01
- int-abs/neg-01
- int-abs/succ-01
- int-abs/subsub
- int-mult/zero-gr
- int-abs/neg-05
- int-pot/pot2-pos
- int-mult/associativity
- int-mult/one
- int-mult/numls-09
- int-abs/neg-03
- int-abs/negeq
- int-abs/forward-le-04
- int-basic1/ls-01
- int-abs/anti
- int-abs/sub-add-01
- int-abs/sub-le-01
- int-abs/leone
- int-abs/sub-ls
- int-abs/neg-15
- int-abs/sub-ls-01
- int-abs/lsone
- nat-basic2/l-02
- nat-basic2/a
- nat-basic2/c
- int-abs/zero-gels-04
- int-mult/commutativity
- int-abs/numleledel-01
- int-pot/succ
- int-abs/lels-01
- int-basic2/add-a
- int-basic2/add-c
- int-abs/lels-04
- int-abs/mone-08
- int-pot/two-minus
- int-basic2/add-zero
- int-abs/zero-gels-01
- int-abs/numle-02
- 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
- list/bitlista/len-02
- bitopsaux/invert-one
- bitopsaux/inv-false
- bitopsaux/succ-rec
- bitopsaux/sgn-rec
- bitopsaux/sgn-two-03
- list/bitlista/len
- int-abs/forward-le-01
- int-abs/negle-13
- int-abs/neg-07
- int-abs/lels-03
- int-abs/forward-le-02
- int-abs/zero-gels-03
- int-abs/lels
- list-data/bitlista/l
- nat-basic1/f