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Theorem in-07

⊦ ¬ dups(x + a ' + b ') → (dups(x + a ' + b ' + c ') ↔ ¬ ¬(a = c ∨ b = c ∨ c ∈ x))

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

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: f, in-06-01, n,
Used spec theorems:
- Used simplifier rules:
  - list/in-17
  - list/in-append
  - list/a