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| Mirrors > Home > ILE Home > Th. List > 3ex | GIF version | ||
| Description: 3 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.) |
| Ref | Expression |
|---|---|
| 3ex | ⊢ 3 ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 3cn 9329 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 2828 | 1 ⊢ 3 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2205 Vcvv 2815 ℂcc 8141 3c3 9306 |
| 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-5 1496 ax-7 1497 ax-gen 1498 ax-ie1 1542 ax-ie2 1543 ax-8 1553 ax-11 1555 ax-4 1559 ax-17 1575 ax-i9 1579 ax-ial 1583 ax-i5r 1584 ax-ext 2216 ax-resscn 8235 ax-1re 8237 ax-addrcl 8240 |
| This theorem depends on definitions: df-bi 117 df-nf 1510 df-sb 1812 df-clab 2221 df-cleq 2227 df-clel 2230 df-v 2817 df-in 3220 df-ss 3227 df-2 9313 df-3 9314 |
| This theorem is referenced by: fztpval 10439 lgsdir2lem3 16029 konigsberglem4 16612 konigsberglem5 16613 |
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