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Mirrors > Home > ILE Home > Th. List > eleq1 | Unicode version |
Description: Equality implies equivalence of membership. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
eleq1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2180 | . . . 4 | |
2 | 1 | anbi1d 462 | . . 3 |
3 | 2 | exbidv 1818 | . 2 |
4 | df-clel 2166 | . 2 | |
5 | df-clel 2166 | . 2 | |
6 | 3, 4, 5 | 3bitr4g 222 | 1 |
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