Metamath Proof Explorer


Theorem chex

Description: The set of closed subspaces of a Hilbert space exists (is a set). (Contributed by NM, 23-Oct-1999) (New usage is discouraged.)

Ref Expression
Assertion chex
|- CH e. _V

Proof

Step Hyp Ref Expression
1 shex
 |-  SH e. _V
2 chsssh
 |-  CH C_ SH
3 1 2 ssexi
 |-  CH e. _V