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Mirrors > Home > ILE Home > Th. List > rpcn | Unicode version |
Description: A positive real is a complex number. (Contributed by NM, 11-Nov-2008.) |
Ref | Expression |
---|---|
rpcn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpre 9587 | . 2 | |
2 | 1 | recnd 7918 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 2135 cc 7742 crp 9580 |
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 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 ax-resscn 7836 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-rab 2451 df-in 3117 df-ss 3124 df-rp 9581 |
This theorem is referenced by: rpcnne0 9600 rpcnap0 9601 divge1 9650 sqrtdiv 10970 efgt1p2 11622 efgt1p 11623 pilem1 13247 rpcxp0 13366 rpcxp1 13367 cxprec 13378 rplogbval 13410 rprelogbdiv 13422 |
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