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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 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elex 3212 | . 2 | |
2 | elex 3212 | . . 3 | |
3 | elex 3212 | . . 3 | |
4 | 2, 3 | jaoi 394 | . 2 |
5 | eleq1 2689 | . . . 4 | |
6 | eleq1 2689 | . . . 4 | |
7 | 5, 6 | orbi12d 746 | . . 3 |
8 | df-un 3579 | . . 3 | |
9 | 7, 8 | elab2g 3353 | . 2 |
10 | 1, 4, 9 | pm5.21nii 368 | 1 |
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