Description: A closed subspace of a Hilbert space is a subset of Hilbert space. (Contributed by NM, 6-Oct-1999) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | chssi.1 | ⊢ 𝐻 ∈ Cℋ | |
Assertion | chssii | ⊢ 𝐻 ⊆ ℋ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chssi.1 | ⊢ 𝐻 ∈ Cℋ | |
2 | 1 | chshii | ⊢ 𝐻 ∈ Sℋ |
3 | 2 | shssii | ⊢ 𝐻 ⊆ ℋ |