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Theorem uint2bits-expos1

1 < j ⊦ ∃ bits. uint2bits(j) = false ' + true ' + bits ∧ bits ≠ []

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: int2bits-exneg, int2bits-len-neg, int2bits-ones, uint2bits-sgn-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: uint2bits-zero-01, uint2bits-zero, uint2bits-one, uint2bits-rec-01, uint2bits-onein, uint2bits-firstpos, uint2bits-expos0,
Used spec theorems:
- Used simplifier rules:
  - int-div/div-two-zero
  - int-div/div-two-zero-01
  - int-abs/lels-01
  - int-basic1/lst
  - list/bitlista/app-06
  - list/bitlista/Last
  - int-abs/lels
  - int-abs/anti
  - list/bitlista/Two
  - list/bitlista/app-01
  - list/bitlista/in-append
  - list/bitlista/in-17
  - int-abs/lels-02
  - list/bitlista/c-03
  - list/bitlista/e
  - list/bitlista/app
  - list/bitlista/in-13
  - list/bitlista/in-14
  - list/bitlista/a
  - int-abs/numlsf-01