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Theorem int2bits-leading-sgn

⊦ (bits.first ↔ bits.rest.first) ∧ 1 < # bits → int2bits(i) ≠ bits

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: uint2bits-false, uint2bits-zero, uint2bits-zero-01, uint2bits-firstpos, uint2bits-empty, int2bits-truetrue-01, int2bits-mone-02, int2bits-true, int2bits-truein, int2bits-first-06, int2bits-pos, int2bits-not-empty, int2bits-first-02,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-01
  - int-abs/lels-04
  - int-abs/zero-gels-04
  - list/bitlista/app
  - list/bitlista/len-02
  - list/bitlista/in-14
  - list/bitlista/a
  - list/bitlista/c
  - list-data/bitlista/elim-list
  - int-abs/forward-le-02
  - int-abs/lels-01
  - list-data/bitlista/l
  - nat-basic1/one
  - int-abs/lels