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Theorem int2bits-len-eq

⊦ j ≠ 2 ^ n→i(# int2bits(j))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-lelen-07, int2bits-len-eq-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas: int2bits-len-pos, int2bits-zero, uint2bits-one, int2bits-neg-num, int2bits-len-neg,
Used spec theorems:
Used simplifier rules:
- int-mult/zero-eq
- int-pot/two-zero
- int-mult/numls
- int-mult/zero-gr-01
- int-abs/lep
- int-pot/two-le
- int-abs/numleledel-01
- 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-abs/lels-02
- int-abs/anti
- int-pot/two-lsz
- int-abs/absle
- int-abs/abs-12
- intnat/ini2-abs
- int-pot/succ
- int-abs/lels-01
- int-basic2/add-a
- int-basic2/add-c
- int-abs/lenls
- 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
- 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