Description: Hilbert lattice join is an upper bound of two subspaces. (Contributed by NM, 19-Oct-1999) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | shincl.1 | |- A e. SH |
|
shincl.2 | |- B e. SH |
||
Assertion | shub1i | |- A C_ ( A vH B ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | shincl.1 | |- A e. SH |
|
2 | shincl.2 | |- B e. SH |
|
3 | 1 2 | shsub1i | |- A C_ ( A +H B ) |
4 | 1 2 | shsleji | |- ( A +H B ) C_ ( A vH B ) |
5 | 3 4 | sstri | |- A C_ ( A vH B ) |