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Mirrors > Home > MPE Home > Th. List > eleqtrd | Structured version Visualization version Unicode version |
Description: Deduction that substitutes equal classes into membership. (Contributed by NM, 14-Dec-2004.) |
Ref | Expression |
---|---|
eleqtrd.1 |
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eleqtrd.2 |
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Ref | Expression |
---|---|
eleqtrd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eleqtrd.1 |
. 2
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2 | eleqtrd.2 |
. . 3
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3 | 2 | eleq2d 2513 |
. 2
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4 | 1, 3 | mpbid 214 |
1
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