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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 | |
rabeqbidv.2 |
Ref | Expression |
---|---|
rabeqbidv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rabeqbidv.1 | . . 3 | |
2 | rabeq 2652 | . . 3 | |
3 | 1, 2 | syl 14 | . 2 |
4 | rabeqbidv.2 | . . 3 | |
5 | 4 | rabbidv 2649 | . 2 |
6 | 3, 5 | eqtrd 2150 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wceq 1316 crab 2397 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ral 2398 df-rab 2402 |
This theorem is referenced by: elfvmptrab1 5483 mpoxopoveq 6105 supeq123d 6846 phival 11816 dfphi2 11823 cldval 12195 neifval 12236 cnfval 12290 cnpfval 12291 cnprcl2k 12302 hmeofvalg 12399 ispsmet 12419 ismet 12440 isxmet 12441 blfvalps 12481 cncfval 12655 |
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