Metamath Proof Explorer


Theorem vuniex

Description: The union of a setvar is a set. (Contributed by BJ, 3-May-2021) (Revised by BJ, 6-Apr-2024)

Ref Expression
Assertion vuniex ⊢ ⋃ x ∈ V

Proof

Step Hyp Ref Expression
1 uniex2 ⊢ ∃ y y = ⋃ x
2 1 issetri ⊢ ⋃ x ∈ V