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Theorem bytes2int-int2bytes-len-eq

⊦ # bytes = # int2bytes(bytes2int(bytes)) → bytes = int2bytes(bytes2int(bytes))

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: 77
Proof steps: 147
Used lemmas: int2bytes-le127, int2bytes-rec-neg-256-01, int2bytes-rec-neg-256, int2bytes-minus-256-01, int2bytes-byte-neg, int2bytes-byte, int2bytes-le255, int2bytes-rec-pos, int2bytes-byte-01, bytes2int-one, bytes2int-rec-01,
Used spec theorems:
Used simplifier rules:
- byte/byte-add-256
- int-abs/numleledel-01
- byte/byte-mod-100x
- int-div/nummult-ls-02
- int-basic2/ls-01
- int-mult/zero-gr
- int-basic2/ls-02
- int-abs/numlelsdel-01
- int-basic2/num-between
- int-abs/forward-lels
- int-div/mod-mult-pos-01
- int-mult/zero-ge
- int-mult/eq-succ
- int-abs/mone-06
- int-abs/anti
- int-abs/lsone
- int-mult/numls-03
- int-abs/numle-02
- int-abs/Sub-def
- int-basic1/lst
- int-abs/neg-13
- int-abs/abs-08
- int-mult/one-01
- int-basic2/add-in
- int-abs/mone-05
- int-abs/numle-03
- int-abs/numls-02
- int-abs/elim-sub
- int-basic1/numlslsdel-01
- int-abs/mone-08
- int-basic1/ls-01
- list/bytelist/app-03
- byte/byte-equal-01
- int-abs/numadd-01
- list/bytelist/Nil
- list/bytelist/e-01
- list-data/bytelist/elim-list
- list/bytelist/app
- nat/add-num-04
- list/bytelist/Last
- byte/ibi
- int-div/nummult-ls-01
- intops/band-255-pos
- int-mult/succ-rmerge
- int-abs/numls-03
- int-abs/absle
- int-basic2/ls
- byte/bib-pos-low
- int-abs/sub-zero-01
- int-basic1/forward-pos
- list-last/bytelist/last-def
- int-abs/sub-ls-01
- byte/byte-and-255
- byte/byte
- int-basic1/numlslsdel
- int-abs/sub-ls
- int-abs/sub-le-01
- list/bytelist/app-06
- nat-basic2/s
- nat-basic1/ref-1
- int-basic2/add-zero
- int-abs/numsub
- int-div/div-zero-03
- int-abs/forward-le-05
- int-abs/sub-eq
- int-div/mod-zero-07
- int-abs/absls-06
- int-mult/modzero-01
- intops/band-max-04
- byte/byte-011x-pos-02
- int-abs/abs-06
- int-abs/abs-03
- int-abs/forward-le
- int-abs/forward-le-02
- int-abs/lels-04
- int-abs/zero-gels-01
- int-abs/forward-le-01
- int-abs/forward-lsle
- int-abs/zero-gels-04
- intops/band-notneg
- int-mult/zero-ls
- int-abs/lels-03
- int-div/mod-zero-num
- int-div/div-mult-03
- int-div/mod-add1-posneg-neg
- list-last/bytelist/l
- nat-basic2/eq-01
- int-abs/lels-02
- int-abs/forward-le-04
- int-abs/numlelsdel
- int-abs/zero-gels-03
- int-basic1/numlsf
- int-abs/numlsledel
- int-abs/lels-01
- byte/byte-mult-256
- byte/byte-011x-ib
- intops/band-associativity
- int-mult/associativity
- int-basic2/add-a
- int-abs/numleledel
- int-basic2/add-c
- intops/band-commutativity
- int-mult/commutativity
- list/bytelist/e-02
- nat-basic2/one
- list-last/bytelist/last-elim
- int-abs/lels
- list/bytelist/c
- list/bytelist/len
- list/bytelist/a
- nat-basic2/one-03
- nat-basic2/a
- nat-basic2/c
- list/bytelist/c-03
- list-data/bytelist/elim-list-c
- list/bytelist/len-02
- list/bytelist/c-04
- list-data/bytelist/size-01
- list-data/bytelist/l
- nat-basic1/one