Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > hlatjcl | Structured version Visualization version Unicode version |
Description: Closure of join operation. Frequently-used special case of latjcl 17051 for atoms. (Contributed by NM, 15-Jun-2012.) |
Ref | Expression |
---|---|
hlatjcl.b | |
hlatjcl.j | |
hlatjcl.a |
Ref | Expression |
---|---|
hlatjcl |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hllat 34650 | . 2 | |
2 | hlatjcl.b | . . 3 | |
3 | hlatjcl.a | . . 3 | |
4 | 2, 3 | atbase 34576 | . 2 |
5 | 2, 3 | atbase 34576 | . 2 |
6 | hlatjcl.j | . . 3 | |
7 | 2, 6 | latjcl 17051 | . 2 |
8 | 1, 4, 5, 7 | syl3an 1368 | 1 |
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