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Theorem first-01

⊦ ¬ a ∈ x → (disj(a ' + y, x) ↔ disj(y, x))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp, localcut,
Comment:
Used by: cons-01, cons-02, lastoc, sym,
Used by units in proved state: list-dup,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: disjoint,
Used spec theorems:
- Used simplifier rules:
  - list/a
  - list/in-rec