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Theorem d

⊦ ¬ a ∈ x ∧ ¬ a ∈ y → (dups(x + a ' + y) ↔ dups(x + y))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: dups-eqsize-02, f-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: app-01-02, rec,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/in-06
  - list/in-rec
  - list/in-append
  - list/c
  - list/a