Description: A subcomplex pre-Hilbert space satisfies the parallelogram law. (Contributed by Mario Carneiro, 7-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | nmpar.v | |
|
nmpar.p | |
||
nmpar.m | |
||
nmpar.n | |
||
Assertion | nmpar | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nmpar.v | |
|
2 | nmpar.p | |
|
3 | nmpar.m | |
|
4 | nmpar.n | |
|
5 | eqid | |
|
6 | eqid | |
|
7 | eqid | |
|
8 | simp1 | |
|
9 | simp2 | |
|
10 | simp3 | |
|
11 | 1 2 3 4 5 6 7 8 9 10 | nmparlem | |