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Theorem app-02

⊦ disj(x, y + z) ↔ disj(x, y) ∧ disj(x, z)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: aa, app, app-01, app-03, cons, cons-01, cons-02, cons-04, last, lastoc,
Used by units in proved state: list-last,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 13
Used lemmas: first, in, e,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/c
  - list/in-06
  - list/a