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Mirrors > Home > ILE Home > Th. List > rabeq2i | Unicode version |
Description: Inference from equality of a class variable and a restricted class abstraction. (Contributed by NM, 16-Feb-2004.) |
Ref | Expression |
---|---|
rabeq2i.1 |
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Ref | Expression |
---|---|
rabeq2i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rabeq2i.1 |
. . 3
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2 | 1 | eleq2i 2263 |
. 2
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3 | rabid 2673 |
. 2
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4 | 2, 3 | bitri 184 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1461 ax-gen 1463 ax-ie1 1507 ax-ie2 1508 ax-8 1518 ax-4 1524 ax-17 1540 ax-i9 1544 ax-ial 1548 ax-ext 2178 |
This theorem depends on definitions: df-bi 117 df-sb 1777 df-clab 2183 df-cleq 2189 df-clel 2192 df-rab 2484 |
This theorem is referenced by: tfis 4619 fvmptssdm 5646 suplocsrlempr 7872 suplocsrlem 7873 |
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