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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 8902 | . 2 ⊢ 3 ∈ ℂ | |
2 | 1 | elexi 2724 | 1 ⊢ 3 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 2128 Vcvv 2712 ℂcc 7724 3c3 8879 |
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 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-11 1486 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2139 ax-resscn 7818 ax-1re 7820 ax-addrcl 7823 |
This theorem depends on definitions: df-bi 116 df-nf 1441 df-sb 1743 df-clab 2144 df-cleq 2150 df-clel 2153 df-v 2714 df-in 3108 df-ss 3115 df-2 8886 df-3 8887 |
This theorem is referenced by: fztpval 9978 |
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