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Theorem nodups-rmposnodups

⊦ ¬ dups(x) → (dups(x -1l n) ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 10
Used lemmas: rmtoobigpos, rmpos-in, delpos-rec, delpos-base, delpos-empty,
Used spec theorems:
- Used simplifier rules:
  - list-dup/e-01
  - list-dup/rec
  - list/a
  - nat-basic2/c
  - nat-basic2/a
  - list/c
  - nat-basic2/succ
  - nat/lels