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Theorem dups-appex

⊦ dups(x + y) ↔ dups(x) ∨ dups(y) ∨ (∃ a. a ∈ x ∧ a ∈ y)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: in-06, rec, e-01,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/in-empty
  - list/in-rec
  - list/in-append
  - list/c
  - list/a