Description: The zero subspace is a closed subspace. Part of Proposition 1 of Kalmbach p. 65. (Contributed by NM, 30-May-1999) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | h0elch | ⊢ 0ℋ ∈ Cℋ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ch0 | ⊢ 0ℋ = { 0ℎ } | |
2 | hsn0elch | ⊢ { 0ℎ } ∈ Cℋ | |
3 | 1 2 | eqeltri | ⊢ 0ℋ ∈ Cℋ |