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Theorem nodups-new-nodups

⊦ new(ax, fs) ∧ ¬ dups(ax) ∧ ¬ dups(log) ∧ log-cons(log, fs) → (dups(log + ax) ↔ false)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: log-cons,
Used spec theorems:
- Used simplifier rules:
  - list/address-list-set/Nil
  - list-dup/address-list-set/e-01
  - list/address-list-set/in-empty
  - list/address-list-set/in-rec
  - list-dup/address-list-set/dups-cons
  - list/address-list-set/in-append
  - list-dup/address-list-set/rec
  - list/address-list-set/a
  - list/address-list-set/c
  - aubifs-base/new-in-fs