Description: Closure of join operation. Frequently-used special case of latjcl for atoms. (Contributed by NM, 15-Jun-2012)
Ref | Expression | ||
---|---|---|---|
Hypotheses | hlatjcl.b | ||
hlatjcl.j | |||
hlatjcl.a | |||
Assertion | hlatjcl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hlatjcl.b | ||
2 | hlatjcl.j | ||
3 | hlatjcl.a | ||
4 | hllat | ||
5 | 1 3 | atbase | |
6 | 1 3 | atbase | |
7 | 1 2 | latjcl | |
8 | 4 5 6 7 | syl3an |