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Theorem une-01

⊦ s1 ∪ s2 = ∅ ↔ s1 = ∅ ∧ s2 = ∅

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 14
Used lemmas: unc, una, unrax, ext,
Used spec theorems:
- Used simplifier rules:
  - infset-basic/In-empty
  - infset-basic/ne-01