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Theorem rec

⊦ dups(a ' + x) ↔ a ∈ x ∨ dups(x)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: a, app-05, c-01, c-02, d, dups-appex, dups-cons, dups-firstoc-rew, dups-rmdup-size-equiv, dups-sw, f, f-01, k-dups, two, two-01, two-02,
Used by units in proved state: list-set, list-del, path-reachable, path-reachable, list-last,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 19
Used lemmas: dups,
Used spec theorems:
- list/in-def
Used simplifier rules:
- list/app-01
- list/neq
- list/inapp-04
- list/in-17
- list/in-13
- list/in-14
- list/c
- list/c-06
- list/Nil
- list-data/elim-list-c
- list/in-append
- list/a