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Mirrors > Home > ILE Home > Th. List > nnrei | Unicode version |
Description: A positive integer is a real number. (Contributed by NM, 18-Aug-1999.) |
Ref | Expression |
---|---|
nnre.1 |
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Ref | Expression |
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nnrei |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnre.1 |
. 2
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2 | nnre 8989 |
. 2
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3 | 1, 2 | ax-mp 5 |
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 2175 ax-sep 4147 ax-cnex 7963 ax-resscn 7964 ax-1re 7966 ax-addrcl 7969 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2180 df-cleq 2186 df-clel 2189 df-nfc 2325 df-ral 2477 df-v 2762 df-in 3159 df-ss 3166 df-int 3871 df-inn 8983 |
This theorem is referenced by: nncni 8992 nnap0i 9013 nnne0i 9014 10re 9466 numlt 9472 numltc 9473 ef01bndlem 11899 pockthi 12496 strleun 12722 strle1g 12724 2strbasg 12737 2stropg 12738 tsetndxnbasendx 12808 plendxnbasendx 12822 dsndxnbasendx 12833 unifndxnbasendx 12843 slotsdifunifndx 12845 |
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