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Theorem rm-notin-01

⊦ rmdup(x) = y + a ' + z → a ∈ x ∧ ¬ a ∈ y ∧ ¬ a ∈ z

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 9
Used lemmas: in-01-02, in-04-01, rm-nodups, rm-in-02,
Used spec theorems:
- Used simplifier rules:
  - list/neq
  - list/a