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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 8219 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2825 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2203 Vcvv 2812 ℂcc 8124 1c1 8127 |
| 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 8219 |
| This theorem depends on definitions: df-bi 117 df-sb 1812 df-clab 2219 df-cleq 2225 df-clel 2228 df-v 2814 |
| This theorem is referenced by: nn1suc 9255 nn0ind-raph 9694 fzprval 10415 fztpval 10416 m1expcl2 10922 1exp 10929 facnn 11088 fac0 11089 prhash2ex 11172 prodf1f 12225 fprodntrivap 12266 prod1dc 12268 fprodssdc 12272 ege2le3 12353 1nprm 12807 pcmpt 13037 dvexp 15568 dvef 15584 lgsdir2lem3 15895 2wlklem 16363 konigsberglem4 16478 konigsberglem5 16479 2o01f 16760 iswomni0 16828 |
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