Metamath Proof Explorer

Theorem atssch

Description: Atoms are a subset of the Hilbert lattice. (Contributed by NM, 14-Aug-2002) (New usage is discouraged.)

Ref Expression
Assertion atssch 
|- HAtoms C_ CH

Proof

Step Hyp Ref Expression
1 df-at 
 |-  HAtoms = { x e. CH | 0H
2 1 ssrab3 
 |-  HAtoms C_ CH