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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 8928 | . 2 ⊢ 3 ∈ ℂ | |
2 | 1 | elexi 2737 | 1 ⊢ 3 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 2136 Vcvv 2725 ℂcc 7747 3c3 8905 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1435 ax-7 1436 ax-gen 1437 ax-ie1 1481 ax-ie2 1482 ax-8 1492 ax-11 1494 ax-4 1498 ax-17 1514 ax-i9 1518 ax-ial 1522 ax-i5r 1523 ax-ext 2147 ax-resscn 7841 ax-1re 7843 ax-addrcl 7846 |
This theorem depends on definitions: df-bi 116 df-nf 1449 df-sb 1751 df-clab 2152 df-cleq 2158 df-clel 2161 df-v 2727 df-in 3121 df-ss 3128 df-2 8912 df-3 8913 |
This theorem is referenced by: fztpval 10014 lgsdir2lem3 13531 |
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