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Theorem dups-01

⊦ ¬ dups(x + set2list(s ∪ s0)) → ¬ dups(x + set2list(s)) ∧ ¬ dups(x + set2list(s0))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas: in-01, dups,
Used spec theorems:
- list-dup/dups-appex
Used simplifier rules: