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Mirrors > Home > ILE Home > Th. List > rabeqbidv | Unicode version |
Description: Equality of restricted class abstractions. (Contributed by Jeff Madsen, 1-Dec-2009.) |
Ref | Expression |
---|---|
rabeqbidv.1 |
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rabeqbidv.2 |
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Ref | Expression |
---|---|
rabeqbidv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rabeqbidv.1 |
. . 3
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2 | rabeq 2647 |
. . 3
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3 | 1, 2 | syl 14 |
. 2
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4 | rabeqbidv.2 |
. . 3
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5 | 4 | rabbidv 2644 |
. 2
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6 | 3, 5 | eqtrd 2145 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 681 ax-5 1404 ax-7 1405 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-10 1464 ax-11 1465 ax-i12 1466 ax-bndl 1467 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-i5r 1496 ax-ext 2095 |
This theorem depends on definitions: df-bi 116 df-tru 1315 df-nf 1418 df-sb 1717 df-clab 2100 df-cleq 2106 df-clel 2109 df-nfc 2242 df-ral 2393 df-rab 2397 |
This theorem is referenced by: elfvmptrab1 5467 mpoxopoveq 6088 supeq123d 6827 phival 11727 dfphi2 11734 cldval 12104 neifval 12145 cnfval 12199 cnpfval 12200 cnprcl2k 12210 ispsmet 12305 ismet 12326 isxmet 12327 blfvalps 12367 cncfval 12538 |
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