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Theorem sortedchars-no-dups

⊦ ¬ dups(s→l(sortedchars))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: use option: `no automatic predtest', otherwise the simplifier will take a *long* time.
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 26
Proof steps: 122
Used lemmas: s2l-empty, s2l-rec-01, s2l-app,
Used spec theorems:
- string-less/sortedchars-divided
- list-set/charlist/dups-app
- list-set/charlist/filter-empty-def
Used simplifier rules:
- list-dup/charlist/c
- list/charlist/in-17
- list/charlist/in-append
- list-dup/charlist/rec
- list/charlist/a
- list/charlist/app