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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 8114 | . 2 ⊢ 3 ∈ ℂ | |
2 | 1 | elexi 2611 | 1 ⊢ 3 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 1433 Vcvv 2601 ℂcc 6979 3c3 8090 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-resscn 7068 ax-1re 7070 ax-addrcl 7073 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-v 2603 df-in 2979 df-ss 2986 df-2 8098 df-3 8099 |
This theorem is referenced by: fztpval 9100 |
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