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Theorem intersect-empty

⊦ (x + y) intersect z = [] ↔ x intersect z = [] ∧ y intersect z = []

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by: intersect-empty-cons-01, intersect-notempty, intersect-rest,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 14
Used lemmas: inters-n, inters-y, inters-e,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/a
  - list/c
  - list/app-02
  - list/e