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Theorem lastN-dups

⊦ ¬ dups(x) ∧ n < # x → ¬ dups(x.takeRight(n))

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: lastN-dups-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: restN-zero, lastn-restn-01, restN-rec,
Used spec theorems:
- Used simplifier rules:
  - list-data/size-nil
  - nat-basic/less-zero
  - nat/lels-03
  - nat-basic/c
  - nat-basic/a
  - list/a
  - list/c-07
  - nat/add-01
  - nat/lels
  - list-dup/rec
  - list/c
  - nat-basic/succ
  - list/len-05
  - nat-basic/nls-fst
  - nat/le-def
  - nat-basic/s-04
  - nat/anti
  - nat/zero
  - nat/ler