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