Description: A projection is self-adjoint. Property (i) of Beran p. 109. (Contributed by NM, 6-Oct-2000) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | pjadjt.1 | |
|
Assertion | pjadji | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pjadjt.1 | |
|
2 | fveq2 | |
|
3 | 2 | oveq1d | |
4 | oveq1 | |
|
5 | 3 4 | eqeq12d | |
6 | oveq2 | |
|
7 | fveq2 | |
|
8 | 7 | oveq2d | |
9 | 6 8 | eqeq12d | |
10 | ifhvhv0 | |
|
11 | ifhvhv0 | |
|
12 | 1 10 11 | pjadjii | |
13 | 5 9 12 | dedth2h | |