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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpre 9692 |
. 2
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2 | 1 | recnd 8017 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 ax-resscn 7934 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-rab 2477 df-in 3150 df-ss 3157 df-rp 9686 |
This theorem is referenced by: rpcnne0 9705 rpcnap0 9706 divge1 9755 sqrtdiv 11086 efgt1p2 11738 efgt1p 11739 pilem1 14677 rpcxp0 14796 rpcxp1 14797 cxprec 14808 rplogbval 14840 rprelogbdiv 14852 |
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