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Mirrors > Home > ILE Home > Th. List > nn0cnd | Unicode version |
Description: A nonnegative integer is a complex number. (Contributed by Mario Carneiro, 27-May-2016.) |
Ref | Expression |
---|---|
nn0red.1 |
Ref | Expression |
---|---|
nn0cnd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0red.1 | . . 3 | |
2 | 1 | nn0red 8236 | . 2 |
3 | 2 | recnd 7054 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1393 cc 6887 cn0 8181 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-sep 3875 ax-cnex 6975 ax-resscn 6976 ax-1re 6978 ax-addrcl 6981 ax-rnegex 6993 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-rex 2312 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 df-sn 3381 df-int 3616 df-inn 7915 df-n0 8182 |
This theorem is referenced by: expaddzaplem 9298 expaddzap 9299 expmulzap 9301 |
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