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Mirrors > Home > ILE Home > Th. List > 6cn | GIF version |
Description: The number 6 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.) |
Ref | Expression |
---|---|
6cn | ⊢ 6 ∈ ℂ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 6re 8915 | . 2 ⊢ 6 ∈ ℝ | |
2 | 1 | recni 7891 | 1 ⊢ 6 ∈ ℂ |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 2128 ℂcc 7731 6c6 8889 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-11 1486 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 ax-resscn 7825 ax-1re 7827 ax-addrcl 7830 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-in 3108 df-ss 3115 df-2 8893 df-3 8894 df-4 8895 df-5 8896 df-6 8897 |
This theorem is referenced by: 7m1e6 8958 6p2e8 8983 6p3e9 8984 halfpm6th 9054 6p4e10 9367 6t2e12 9399 6t3e18 9400 6t5e30 9402 5recm6rec 9439 efi4p 11618 ef01bndlem 11657 cos01bnd 11659 3lcm2e6woprm 11967 6lcm4e12 11968 sincos6thpi 13205 sincos3rdpi 13206 ex-exp 13345 ex-bc 13347 ex-gcd 13349 |
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