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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 |
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syl5eqelr.1 |
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syl5eqelr.2 |
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Ref | Expression |
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syl5eqelr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | syl5eqelr.1 |
. . 3
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2 | 1 | eqcomi 2041 |
. 2
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3 | syl5eqelr.2 |
. 2
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4 | 2, 3 | syl5eqel 2121 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1333 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-4 1397 ax-17 1416 ax-ial 1424 ax-ext 2019 |
This theorem depends on definitions: df-bi 110 df-cleq 2030 df-clel 2033 |
This theorem is referenced by: dmrnssfld 4538 cnvexg 4798 opabbrex 5491 offval 5661 resfunexgALT 5679 abrexexg 5687 abrexex2g 5689 opabex3d 5690 nqprlu 6530 iccshftr 8632 iccshftl 8634 iccdil 8636 icccntr 8638 |
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