Theorem ch0lei

Description: The closed subspace zero is the smallest member of CH . (Contributed by NM, 15-Oct-1999) (New usage is discouraged.)

	Ref	Expression
Hypothesis	ch0le.1	|- A e. CH
Assertion	ch0lei	|- 0H C_ A

Proof

Step	Hyp	Ref	Expression
1		ch0le.1	|- A e. CH
2		ch0le	|- ( A e. CH -> 0H C_ A )
3	1 2	ax-mp	|- 0H C_ A