Metamath Proof Explorer
Description: The addition operation of a subcomplex Hilbert space augmented with
betweenness. (Contributed by Thierry Arnoux, 25-Mar-2019)
|
|
Ref |
Expression |
|
Hypotheses |
ttgval.n |
|
|
|
ttgplusg.1 |
|
|
Assertion |
ttgplusg |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
ttgval.n |
|
2 |
|
ttgplusg.1 |
|
3 |
|
df-plusg |
|
4 |
|
2nn |
|
5 |
|
1nn |
|
6 |
|
6nn0 |
|
7 |
|
2nn0 |
|
8 |
|
2lt10 |
|
9 |
5 6 7 8
|
declti |
|
10 |
1 3 4 9
|
ttglem |
|
11 |
2 10
|
eqtri |
|