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Mirrors > Home > ILE Home > Th. List > syl5eqelr | Unicode version |
Description: B membership and equality inference. (Contributed by NM, 4-Jan-2006.) |
Ref | Expression |
---|---|
syl5eqelr.1 | |
syl5eqelr.2 |
Ref | Expression |
---|---|
syl5eqelr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5eqelr.1 | . . 3 | |
2 | 1 | eqcomi 2085 | . 2 |
3 | syl5eqelr.2 | . 2 | |
4 | 2, 3 | syl5eqel 2165 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1284 wcel 1433 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-17 1459 ax-ial 1467 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-cleq 2074 df-clel 2077 |
This theorem is referenced by: dmrnssfld 4613 cnvexg 4875 opabbrex 5569 offval 5739 resfunexgALT 5757 abrexexg 5765 abrexex2g 5767 opabex3d 5768 nqprlu 6737 iccshftr 9016 iccshftl 9018 iccdil 9020 icccntr 9022 exprmfct 10519 |
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