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Mirrors > Home > NFE Home > Th. List > clel2 | Unicode version |
Description: An alternate definition of class membership when the class is a set. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
clel2.1 |
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Ref | Expression |
---|---|
clel2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clel2.1 |
. . 3
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2 | eleq1 2413 |
. . 3
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3 | 1, 2 | ceqsalv 2886 |
. 2
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4 | 3 | bicomi 193 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-v 2862 |
This theorem is referenced by: snss 3839 |
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