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Mirrors > Home > ILE Home > Th. List > rpcnd | Unicode version |
Description: A positive real is a complex number. (Contributed by Mario Carneiro, 28-May-2016.) |
Ref | Expression |
---|---|
rpred.1 |
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Ref | Expression |
---|---|
rpcnd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpred.1 |
. . 3
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2 | 1 | rpred 9234 |
. 2
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3 | 2 | recnd 7577 |
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 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 ax-ext 2071 ax-resscn 7498 |
This theorem depends on definitions: df-bi 116 df-nf 1396 df-sb 1694 df-clab 2076 df-cleq 2082 df-clel 2085 df-nfc 2218 df-rab 2369 df-in 3006 df-ss 3013 df-rp 9196 |
This theorem is referenced by: rpcnne0d 9244 ltaddrp2d 9269 iccf1o 9482 bcp1nk 10231 bcpasc 10235 cvg1nlemcxze 10476 cvg1nlemres 10479 resqrexlemdec 10505 resqrexlemlo 10507 resqrexlemcalc2 10509 resqrexlemcalc3 10510 resqrexlemnm 10512 resqrexlemcvg 10513 resqrexlemoverl 10515 sqrtdiv 10536 absdivap 10564 isumrpcl 10949 expcnvap0 10957 absgtap 10965 cvgratz 10987 mertenslemi1 10990 effsumlt 11043 |
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