Description: Subspace join for DVecA partial vector space. (Contributed by NM, 6-Dec-2013) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | djaval.h | |
|
Assertion | djaffvalN | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | djaval.h | |
|
2 | elex | |
|
3 | fveq2 | |
|
4 | 3 1 | eqtr4di | |
5 | fveq2 | |
|
6 | 5 | fveq1d | |
7 | 6 | pweqd | |
8 | fveq2 | |
|
9 | 8 | fveq1d | |
10 | 9 | fveq1d | |
11 | 9 | fveq1d | |
12 | 10 11 | ineq12d | |
13 | 9 12 | fveq12d | |
14 | 7 7 13 | mpoeq123dv | |
15 | 4 14 | mpteq12dv | |
16 | df-djaN | |
|
17 | 15 16 1 | mptfvmpt | |
18 | 2 17 | syl | |