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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 16297 for atoms. (Contributed by NM, 15-Jun-2012.) |
Ref | Expression |
---|---|
hlatjcl.b |
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hlatjcl.j |
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hlatjcl.a |
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Ref | Expression |
---|---|
hlatjcl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hllat 32929 |
. 2
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2 | hlatjcl.b |
. . 3
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3 | hlatjcl.a |
. . 3
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4 | 2, 3 | atbase 32855 |
. 2
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5 | 2, 3 | atbase 32855 |
. 2
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6 | hlatjcl.j |
. . 3
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7 | 2, 6 | latjcl 16297 |
. 2
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8 | 1, 4, 5, 7 | syl3an 1310 |
1
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