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Theorem int2bits-first-01

⊦ j < 0 → int2bits(j).first

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bits2int-neg-1bit, int2bits-bits2unit, int2bits-fill-rest, int2bits-fillfirst, int2bits-first-02, int2bits-less-2pot-01, int2bits-lslen-05, int2int-lastn-negneg, int2int-lastn-negpos, int2uint-inv,
Used by units in proved state: intops, bytes, byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: int2bits-first, int2bits-not-empty,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/c
  - list/bitlista/a
  - list-data/bitlista/elim-list