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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 9065 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 2775 | 1 ⊢ 3 ∈ V | 
| Colors of variables: wff set class | 
| Syntax hints: ∈ wcel 2167 Vcvv 2763 ℂcc 7877 3c3 9042 | 
| 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 1461 ax-7 1462 ax-gen 1463 ax-ie1 1507 ax-ie2 1508 ax-8 1518 ax-11 1520 ax-4 1524 ax-17 1540 ax-i9 1544 ax-ial 1548 ax-i5r 1549 ax-ext 2178 ax-resscn 7971 ax-1re 7973 ax-addrcl 7976 | 
| This theorem depends on definitions: df-bi 117 df-nf 1475 df-sb 1777 df-clab 2183 df-cleq 2189 df-clel 2192 df-v 2765 df-in 3163 df-ss 3170 df-2 9049 df-3 9050 | 
| This theorem is referenced by: fztpval 10158 lgsdir2lem3 15271 | 
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