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Mirrors > Home > MPE Home > Th. List > elun | Structured version Visualization version Unicode version |
Description: Expansion of membership in class union. Theorem 12 of [Suppes] p. 25. (Contributed by NM, 7-Aug-1994.) |
Ref | Expression |
---|---|
elun |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 3040 |
. 2
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2 | elex 3040 |
. . 3
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3 | elex 3040 |
. . 3
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4 | 2, 3 | jaoi 386 |
. 2
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5 | eleq1 2537 |
. . . 4
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6 | eleq1 2537 |
. . . 4
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7 | 5, 6 | orbi12d 724 |
. . 3
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8 | df-un 3395 |
. . 3
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9 | 7, 8 | elab2g 3175 |
. 2
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10 | 1, 4, 9 | pm5.21nii 360 |
1
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