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Theorem bytes2int-pos

⊦ 0 ≤ bytes2int(bytes) ↔ bytes = [] ∨ 0 ≤ b2i(bytes.first)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: fillsgn-butlast, fillsgn-rec, int2bytes-fillsgn-rec,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas: byte2bits-first, byte2bits-empty, bytes2bits-rec, bytes2bits-empty, bytes2bits-empty-01, bytes2int,
Used spec theorems:
- int2bits/bits2int-ge-zero
- list/bitlista/first-01
Used simplifier rules:
- int-abs/lels
- int-abs/lels-03
- int-abs/lels-04
- list/bytelist/a
- list/bytelist/e-01
- list/bytelist/c
- list-data/bytelist/elim-list
- int-abs/forward-le-02
- int2bits/bits2int-base
- int-abs/lels-01