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Theorem int2bits-one-bit

⊦ int2bits(i) = boolvar ' ↔ i = 0 ∧ ¬ boolvar ∨ i = ~1 ∧ boolvar

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas: int2bits-eq, int2bits-true, int2bits-not-empty, int2bits-mone-02, int2bits-rec-neg, int2bits-zero,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/a
  - list/bitlista/c-05
  - int-basic1/ls-01
  - int-abs/forward-le-02
  - int-abs/lels
  - list/bitlista/c-04
  - int-abs/lels-02
  - int-abs/forward-le-05