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Mirrors > Home > ILE Home > Th. List > 5cn | GIF version |
Description: The number 5 is complex. (Contributed by David A. Wheeler, 8-Dec-2018.) |
Ref | Expression |
---|---|
5cn | ⊢ 5 ∈ ℂ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 5re 7994 | . 2 ⊢ 5 ∈ ℝ | |
2 | 1 | recni 7039 | 1 ⊢ 5 ∈ ℂ |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 1393 ℂcc 6887 5c5 7967 |
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-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-resscn 6976 ax-1re 6978 ax-addrcl 6981 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-in 2924 df-ss 2931 df-2 7973 df-3 7974 df-4 7975 df-5 7976 |
This theorem is referenced by: 5p2e7 8057 5p3e8 8058 5p4e9 8059 5p5e10 8060 5t2e10 8074 |
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