Metamath Proof Explorer


Definition df-ch0

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

Ref Expression
Assertion df-ch0
|- 0H = { 0h }

Detailed syntax breakdown

Step Hyp Ref Expression
0 c0h
 |-  0H
1 c0v
 |-  0h
2 1 csn
 |-  { 0h }
3 0 2 wceq
 |-  0H = { 0h }