Definition df-ch0 29516

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 29518 for closure law. (Contributed by NM, 30-May-1999.) (New usage is discouraged.)

Assertion

Ref	Expression
df-ch0	⊢ 0ℋ = {0ℎ}

Detailed syntax breakdown of Definition df-ch0

Step	Hyp	Ref	Expression
1		c0h 29198	. 2 class 0ℋ
2		c0v 29187	. . 3 class 0ℎ
3	2	csn 4558	. 2 class {0ℎ}
4	1, 3	wceq 1539	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  29517  h0elch  29518  sh0le  29703  spansn0  29804  df0op2  30015  ho01i  30091  hh0oi  30166  nmop0h  30254