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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 8103 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2812 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2200 Vcvv 2799 ℂcc 8008 1c1 8011 |
| 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 1493 ax-gen 1495 ax-ie1 1539 ax-ie2 1540 ax-8 1550 ax-4 1556 ax-17 1572 ax-i9 1576 ax-ial 1580 ax-ext 2211 ax-1cn 8103 |
| This theorem depends on definitions: df-bi 117 df-sb 1809 df-clab 2216 df-cleq 2222 df-clel 2225 df-v 2801 |
| This theorem is referenced by: nn1suc 9140 nn0ind-raph 9575 fzprval 10290 fztpval 10291 m1expcl2 10795 1exp 10802 facnn 10961 fac0 10962 prhash2ex 11044 prodf1f 12069 fprodntrivap 12110 prod1dc 12112 fprodssdc 12116 ege2le3 12197 1nprm 12651 pcmpt 12881 dvexp 15400 dvef 15416 lgsdir2lem3 15724 2wlklem 16115 2o01f 16417 iswomni0 16479 |
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