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Theorem bits2int-is-cast

⊦ n < # int2bits(i) → bits2int(lastn(n, int2bits(i))) = cast(n→i(n), i)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: cast-def,
Used spec theorems:
- Used simplifier rules:
  - int2bits/int2bits-not-empty
  - list-data/bitlista/l
  - nat-basic1/f
  - intnat/n2n
  - bitopsaux/fill-lastn