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Theorem int2bits-first-02

⊦ int2bits(j).first ↔ j < 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-add-low, int2bits-fillfirst, int2bits-fillsgn, int2bits-leading-sgn, int2bits-len-pos-01, int2bits-less-2pot, int2bits-lslen-06, int2int-lastn-posneg, int2int-lastn-pospos, int2uint-fill, int2uint-pos,
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: 4
Used lemmas: uint2bits-first-01, int2bits-pos, int2bits-not-empty, int2bits-first-01,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/a
  - list/bitlista/in-14
  - list/bitlista/c
  - int-abs/lels
  - list-data/bitlista/elim-list-c