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Theorem int2bits-exneg

i < ~ 1 ⊦ ∃ bits. int2bits(i) = true ' + false ' + bits

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: int2bits-add-high, int2int-rest-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 12
Used lemmas: uint2bits-onein-01, uint2bits-expos1, int2bits-neg,
Used spec theorems:
- Used simplifier rules:
  - list/bitlista/e-01
  - list/bitlista/app-03
  - list/bitlista/c-04
  - list/bitlista/in-06
  - list-data/bitlista/elim-list
  - bitopsaux/sgn-base-04
  - bitopsaux/sgn-rec
  - bitopsaux/succ-one
  - bitopsaux/succ-zeros
  - bitopsaux/succ-zero-02
  - bitopsaux/sgn-base-01
  - list/bitlista/c-07
  - list/bitlista/app-01
  - list/bitlista/in-17
  - list/bitlista/in-append
  - bitopsaux/succ-prefix
  - list/bitlista/c
  - bitopsaux/invert-one
  - bitopsaux/invert-zero
  - list/bitlista/in-13
  - list/bitlista/a
  - list/bitlista/in-14
  - int-abs/neg-07
  - int-abs/numls-03
  - int-abs/lels
  - int-abs/mone-08
  - int-basic2/add-a
  - int-basic2/add-c
  - int-abs/abs-08
  - int-basic1/numlsf