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Theorem lastN-dups

⊦ ¬ dups(x) ∧ n < # x → ¬ dups(lastn(n, x))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
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: 3
Used lemmas: lastN-all, lastN-append-01,
Used spec theorems:
- Used simplifier rules:
  - list-data/size-01
  - nat-basic1/zero-01
  - list-dup/rec
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/s
  - list/a
  - nat-basic2/succ
  - list/len-05
  - list/c
  - nat/lels
  - nat/anti