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Theorem bytes2bytes-identity

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bytes2bytes-identity-01, int2bytes-bytes2int-length,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 24
Used lemmas: bytes2int-zero-04, no-leading-zero-01, bytes2bytes-zero, bytes2bytes-length, bytes2int-mone, int2bytes-byte-01, bytes2int-one, bytes2bytes-mone, bytes2bytes-other,
Used spec theorems:
- byte/i2b-noteq
Used simplifier rules:
- byte/byte
- list-data/bytelist/elim-list
- int-abs/forward-le-01
- int-abs/lels
- list/bytelist/app-02-ant
- list/bytelist/e
- nat/le-num-02
- nat/lep-01
- byte/num-ibbi
- byte/ibi
- int-abs/forward-le-02
- list/bytelist/c-04
- list/bytelist/app
- int-abs/lels-01
- list/bytelist/c-07
- list/bytelist/c-08
- nat-basic2/one-03
- nat-basic2/c
- nat-basic2/a
- nat-basic2/oz
- nat-basic1/one
- list/bytelist/e-01
- list/bytelist/a
- list/bytelist/len-02
- list/bytelist/len
- list/bytelist/c
- list-data/bytelist/elim-list-c
- list-data/bytelist/l
- list-data/bytelist/size-01