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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 8759 | . 2 ⊢ 2 ∈ ℂ | |
2 | 1 | elexi 2672 | 1 ⊢ 2 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 1465 Vcvv 2660 ℂcc 7586 2c2 8739 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 ax-resscn 7680 ax-1re 7682 ax-addrcl 7685 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-v 2662 df-in 3047 df-ss 3054 df-2 8747 |
This theorem is referenced by: fzprval 9830 fztpval 9831 |
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