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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 8124 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2815 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2202 Vcvv 2802 ℂcc 8029 1c1 8032 |
| 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 8124 |
| 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 9161 nn0ind-raph 9596 fzprval 10316 fztpval 10317 m1expcl2 10822 1exp 10829 facnn 10988 fac0 10989 prhash2ex 11072 prodf1f 12103 fprodntrivap 12144 prod1dc 12146 fprodssdc 12150 ege2le3 12231 1nprm 12685 pcmpt 12915 dvexp 15434 dvef 15450 lgsdir2lem3 15758 2wlklem 16226 2o01f 16593 iswomni0 16655 |
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