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Theorem int2bits-first

⊦ j < 0 → int2bits(j) ≠ false ' + bits

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: int2bits-first-01, int2bits-first-06, int2bits-truein-01, int2int-inj, int2int-lastn-negneg, int2int-lastn-negpos, int2int-lastn-posneg, int2int-lastn-pospos, uint2bits-add-high-02,
Used by units in proved state: intops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: uint2bits-onein-01, uint2bits-expos0, int2bits-neg,
Used spec theorems:
- Used simplifier rules:
  - bitopsaux/sgn-first-02
  - bitopsaux/succ-prefix
  - list/bitlista/c
  - bitopsaux/invert-one
  - bitopsaux/invert-zero
  - list/bitlista/in-13
  - int-abs/neg
  - int-abs/lels
  - int-abs/lels-03
  - list/bitlista/in-17
  - list/bitlista/in-append
  - int-abs/abs-08
  - list/bitlista/a
  - list/bitlista/in-14