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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 9358 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 2834 | 1 ⊢ 3 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2209 Vcvv 2821 ℂcc 8167 3c3 9335 |
| 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 1500 ax-7 1501 ax-gen 1502 ax-ie1 1546 ax-ie2 1547 ax-8 1557 ax-11 1559 ax-4 1563 ax-17 1579 ax-i9 1583 ax-ial 1587 ax-i5r 1588 ax-ext 2220 ax-resscn 8261 ax-1re 8263 ax-addrcl 8266 |
| This theorem depends on definitions: df-bi 117 df-nf 1514 df-sb 1816 df-clab 2225 df-cleq 2231 df-clel 2234 df-v 2823 df-in 3226 df-ss 3233 df-2 9342 df-3 9343 |
| This theorem is referenced by: fztpval 10468 lgsdir2lem3 16063 konigsberglem4 16646 konigsberglem5 16647 |
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