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Theorem dups-firstoc-rew

⊦ dups(x) ↔ (∃ y, a, z. x = y + a ' + z ∧ a ∈ y ∧ ¬ dups(y))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas: app-05, f-01, rec, e-01, in-04-01,
Used spec theorems:
- list/firstoc-rew
Used simplifier rules:
- list/c
- list/in-12
- list/in-rec
- list/in-append
- list/a
- list/in-10