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Mirrors > Home > ILE Home > Th. List > ralrp | Unicode version |
Description: Quantification over positive reals. (Contributed by NM, 12-Feb-2008.) |
Ref | Expression |
---|---|
ralrp |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elrp 9411 | . . . 4 | |
2 | 1 | imbi1i 237 | . . 3 |
3 | impexp 261 | . . 3 | |
4 | 2, 3 | bitri 183 | . 2 |
5 | 4 | ralbii2 2422 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wcel 1465 wral 2393 class class class wbr 3899 cr 7587 cc0 7588 clt 7768 crp 9409 |
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-3an 949 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 df-v 2662 df-un 3045 df-sn 3503 df-pr 3504 df-op 3506 df-br 3900 df-rp 9410 |
This theorem is referenced by: caucvgre 10721 |
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