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Theorem int2bytes-le255

127 < i, i ≤ 255 ⊦ int2bytes(i) = i2b(0) ' + i2b(i - 256) '

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: bytes2int-int2bytes-len-eq, int2bytes-first-zerobyte, int2bytes-last-01, int2bytes-leading-zeros, int2bytes-rec-case, int2bytes-rec-pos, int2bytes-rec-pos-03, int2bytes-rec-pos-04, int2bytes-zero, no-leading-zero, no-leading-zero-01, rightshift-8-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 21
Used lemmas: bits2bytes-base, bits2bytes-rec, int2bytes,
Used spec theorems:
- int2bits/int2bits-pos
- int2bits/uint2bits-len
- list-del/bitlista/lastN-rest-01
- list-del/bitlista/firstn-one-01
- int2bits/uint2bits-first
- int2bits/uint2int-rest
Used simplifier rules:
- int-abs/sub-add-01
- int-basic2/add-a
- int-basic2/add-c
- int-basic2/add-in
- int-abs/Sub-def
- int-abs/sub-eq
- byte/i2b-noteq
- list/bytelist/a
- list/bytelist/c-04
- list/bytelist/app-01
- int2bits/bits2int-zero
- list/bitlista/len-02
- int-abs/lels-04
- int-abs/lels-03
- int2bits/uint2bits-empty
- int-basic1/ls-01
- int2bits/int2bits-not-empty
- list-data/bitlista/l
- nat-basic1/f
- list/bytelist/Last
- int-abs/lels-01
- int-abs/lels
- int-basic1/lf-01
- int-abs/forward-lele
- int2bits/int2int-inj
- nat/lels
- int-abs/forward-lsle
- int-abs/numlsf-01