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Mirrors > Home > ILE Home > Th. List > 1ex | GIF version |
Description: 1 is a set. Common special case. (Contributed by David A. Wheeler, 7-Jul-2016.) |
Ref | Expression |
---|---|
1ex | ⊢ 1 ∈ V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1cn 7716 | . 2 ⊢ 1 ∈ ℂ | |
2 | 1 | elexi 2698 | 1 ⊢ 1 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 1480 Vcvv 2686 ℂcc 7621 1c1 7624 |
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 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2121 ax-1cn 7716 |
This theorem depends on definitions: df-bi 116 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-v 2688 |
This theorem is referenced by: nn1suc 8742 nn0ind-raph 9171 fzprval 9865 fztpval 9866 m1expcl2 10318 1exp 10325 facnn 10476 fac0 10477 prhash2ex 10558 prodf1f 11315 ege2le3 11380 1nprm 11798 dvexp 12847 dvef 12859 isomninnlem 13228 |
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