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 }