Metamath Proof Explorer


Theorem bj-hbex

Description: A more general instance of hbex . (Contributed by BJ, 4-Apr-2026)

Ref Expression
Hypothesis bj-hbex.1
|- ( ph -> A. x ps )
Assertion bj-hbex
|- ( E. y ph -> A. x E. y ps )

Proof

Step Hyp Ref Expression
1 bj-hbex.1
 |-  ( ph -> A. x ps )
2 19.12
 |-  ( E. y A. x ps -> A. x E. y ps )
3 2 1 bj-sylge
 |-  ( E. y ph -> A. x E. y ps )