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Theorem dups-04

⊦ ¬ dups(x) → (dups(set2list(s) + x) ↔ s ∩ list2set(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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: set2set, dups, dups-03,
Used spec theorems:
- Used simplifier rules:
  - set-union/int-c