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Theorem bib-pos-high

⊦ 0 ≤ i ∧ 127 < i % 256 → b2i(i2b(i)) = i % 256 - 256

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bib-ls-same, bib-ls-same-01, bib-upper, byte-law-add-pos, byte-law-div-not, byte-law-neg, byte-law-righthift-not, byte-mult-pos, fits-law-div-stronger, getsetShort-theorem, out-test-07,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 24
Proof steps: 42
Used lemmas: num-i2b-pos, num-ibbi,
Used spec theorems:
- int2bits/int2int-lastn-posneg
- int2bits/int2bits-mod256
- list-del/bitlista/lastN-rest-01
- bitopsaux/fillsgn-longer
- int2bits/int2bits-lslen
- list-del/bitlista/lastN-append
- int2bits/int2bits-len-pos
- int2bits/int2int-rest
- list-data/bitlista/length-rest
- int2bits/int2bits-pos
- int-div/mod-nls-01
- int-div/mod-zero-05
Used simplifier rules: