Description: Hypothesis elimination lemma for normed complex vector spaces to assist weak deduction theorem. (Contributed by NM, 16-May-2007) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | elimnv.1 | |
|
elimnv.5 | |
||
elimnv.9 | |
||
Assertion | elimnv | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elimnv.1 | |
|
2 | elimnv.5 | |
|
3 | elimnv.9 | |
|
4 | 1 2 | nvzcl | |
5 | 3 4 | ax-mp | |
6 | 5 | elimel | |