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Theorem in-06

⊦ a ∈ x ∧ a ∈ y → dups(x + y)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: rec,
Used spec theorems:
- Used simplifier rules:
  - list/in-empty
  - list/in-append
  - list/a
  - list/in-rec
  - list/c