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Theorem fill-sgn-02

⊦ bits ≠ [] → fillsgn(# bits, sgn(bits)) = bits

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: fill-sgn-04,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 16
Used lemmas: sgn-first, sgn-length-02, sgn-notsame-01, sgn-not-empty-01, fill-rec, fillsgn-longer, sgn-base-03, sgn-rec-01, fill-one, sgn-one,
Used spec theorems:
- Used simplifier rules:
  - nat/lels
  - nat/pred-03
  - nat/add-01
  - list/bitlista/app-01
  - nat/lep-02
  - nat/lels-01
  - nat-basic1/ref-1
  - nat-basic2/a
  - nat-basic2/c
  - list/bitlista/app-02-ant
  - list/bitlista/e
  - list/bitlista/c-08
  - list/bitlista/in-17
  - list/bitlista/in-append
  - list/bitlista/in-14
  - list-data/bitlista/elim-list-c
  - list/bitlista/c-04
  - list/bitlista/app
  - list-data/bitlista/size-01
  - list/bitlista/len-02
  - list/bitlista/len
  - list/bitlista/a
  - list/bitlista/e-01
  - list/bitlista/c