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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 8220 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2826 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2203 Vcvv 2813 ℂcc 8125 1c1 8128 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1496 ax-gen 1498 ax-ie1 1542 ax-ie2 1543 ax-8 1553 ax-4 1559 ax-17 1575 ax-i9 1579 ax-ial 1583 ax-ext 2214 ax-1cn 8220 |
| This theorem depends on definitions: df-bi 117 df-sb 1812 df-clab 2219 df-cleq 2225 df-clel 2228 df-v 2815 |
| This theorem is referenced by: nn1suc 9256 nn0ind-raph 9695 fzprval 10416 fztpval 10417 m1expcl2 10923 1exp 10930 facnn 11089 fac0 11090 prhash2ex 11174 prodf1f 12229 fprodntrivap 12270 prod1dc 12272 fprodssdc 12276 ege2le3 12357 1nprm 12811 pcmpt 13041 ballotfilem2 13142 dvexp 15576 dvef 15592 lgsdir2lem3 15903 2wlklem 16371 konigsberglem4 16486 konigsberglem5 16487 2o01f 16768 iswomni0 16836 |
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