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| Mirrors > Home > ILE Home > Th. List > 2ex | GIF version | ||
| Description: 2 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.) |
| Ref | Expression |
|---|---|
| 2ex | ⊢ 2 ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 2cn 9149 | . 2 ⊢ 2 ∈ ℂ | |
| 2 | 1 | elexi 2792 | 1 ⊢ 2 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2180 Vcvv 2779 ℂcc 7965 2c2 9129 |
| 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 1473 ax-7 1474 ax-gen 1475 ax-ie1 1519 ax-ie2 1520 ax-8 1530 ax-11 1532 ax-4 1536 ax-17 1552 ax-i9 1556 ax-ial 1560 ax-i5r 1561 ax-ext 2191 ax-resscn 8059 ax-1re 8061 ax-addrcl 8064 |
| This theorem depends on definitions: df-bi 117 df-nf 1487 df-sb 1789 df-clab 2196 df-cleq 2202 df-clel 2205 df-v 2781 df-in 3183 df-ss 3190 df-2 9137 |
| This theorem is referenced by: fzprval 10246 fztpval 10247 2lgslem4 15747 |
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