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Theorem f

⊦ dups(x + a ') ↔ a ∈ x ∨ dups(x)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: in-06-01, in-07, in-09, l-01, l-03,
Used by units in proved state: list-last, path-reachable, list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 7
Used lemmas: l, app-05, rec, e-01, c,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/in-empty
  - list/in-rec
  - list/in-17
  - list/in-append
  - list/c
  - list/a