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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 8125 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2815 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2202 Vcvv 2802 ℂcc 8030 1c1 8033 |
| 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 1495 ax-gen 1497 ax-ie1 1541 ax-ie2 1542 ax-8 1552 ax-4 1558 ax-17 1574 ax-i9 1578 ax-ial 1582 ax-ext 2213 ax-1cn 8125 |
| This theorem depends on definitions: df-bi 117 df-sb 1811 df-clab 2218 df-cleq 2224 df-clel 2227 df-v 2804 |
| This theorem is referenced by: nn1suc 9162 nn0ind-raph 9597 fzprval 10317 fztpval 10318 m1expcl2 10824 1exp 10831 facnn 10990 fac0 10991 prhash2ex 11074 prodf1f 12109 fprodntrivap 12150 prod1dc 12152 fprodssdc 12156 ege2le3 12237 1nprm 12691 pcmpt 12921 dvexp 15441 dvef 15457 lgsdir2lem3 15765 2wlklem 16233 2o01f 16619 iswomni0 16682 |
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