Description: The set of vectors belonging to the orthocomplemented subspace of a projection. Second part of Theorem 27.3 of Halmos p. 45. (Contributed by NM, 24-Apr-2006) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | pjocvec | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | choccl | |
|
2 | chss | |
|
3 | 1 2 | syl | |
4 | sseqin2 | |
|
5 | 3 4 | sylib | |
6 | pjoc2 | |
|
7 | 6 | rabbi2dva | |
8 | 5 7 | eqtr3d | |