Description: The span of the singleton of the zero vector is the zero subspace. (Contributed by NM, 14-Jan-2005) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | spansn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ch0 | ||
2 | 1 | fveq2i | |
3 | h0elsh | ||
4 | spanid | ||
5 | 3 4 | ax-mp | |
6 | 2 5 | eqtr3i |