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