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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 8262 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2834 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2209 Vcvv 2821 ℂcc 8167 1c1 8170 |
| 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 1500 ax-gen 1502 ax-ie1 1546 ax-ie2 1547 ax-8 1557 ax-4 1563 ax-17 1579 ax-i9 1583 ax-ial 1587 ax-ext 2220 ax-1cn 8262 |
| This theorem depends on definitions: df-bi 117 df-sb 1816 df-clab 2225 df-cleq 2231 df-clel 2234 df-v 2823 |
| This theorem is referenced by: nn1suc 9302 nn0ind-raph 9742 fzprval 10467 fztpval 10468 m1expcl2 10976 1exp 10983 facnn 11143 fac0 11144 prhash2ex 11228 prodf1f 12288 fprodntrivap 12329 prod1dc 12331 fprodssdc 12335 ege2le3 12416 1nprm 12870 pcmpt 13100 ballotfilem2 13206 dvexp 15735 dvef 15751 lgsdir2lem3 16063 2wlklem 16531 konigsberglem4 16646 konigsberglem5 16647 2o01f 16938 iswomni0 17006 |
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