Metamath Proof Explorer


Theorem bj-projex

Description: Sethood of the class projection. (Contributed by BJ, 6-Apr-2019)

Ref Expression
Assertion bj-projex B V A Proj B V

Proof

Step Hyp Ref Expression
1 df-bj-proj A Proj B = x | x B A
2 bj-clex B V x | x B A V
3 1 2 eqeltrid B V A Proj B V