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Mirrors > Home > ILE Home > Th. List > 4cn | Unicode version |
Description: The number 4 is a complex number. (Contributed by David A. Wheeler, 7-Jul-2016.) |
Ref | Expression |
---|---|
4cn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 4re 8925 | . 2 | |
2 | 1 | recni 7902 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 2135 cc 7742 c4 8901 |
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-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-11 1493 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 ax-resscn 7836 ax-1re 7838 ax-addrcl 7841 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-in 3117 df-ss 3124 df-2 8907 df-3 8908 df-4 8909 |
This theorem is referenced by: 5m1e4 8970 4p2e6 8991 4p3e7 8992 4p4e8 8993 4t2e8 9006 4d2e2 9008 8th4div3 9067 div4p1lem1div2 9101 5p5e10 9383 4t4e16 9411 6t5e30 9419 fzo0to42pr 10145 fldiv4p1lem1div2 10230 sq4e2t8 10542 sqoddm1div8 10597 4bc3eq4 10675 4bc2eq6 10676 resqrexlemover 10938 resqrexlemcalc1 10942 resqrexlemcalc3 10944 cos2bnd 11687 flodddiv4 11856 6gcd4e2 11913 6lcm4e12 11998 pythagtriplem1 12176 dveflem 13234 sincosq4sgn 13297 cosq23lt0 13301 sincos6thpi 13310 ex-exp 13451 ex-fac 13452 ex-bc 13453 |
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