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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 8236 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | elexi 2828 | 1 ⊢ 1 ∈ V |
| Colors of variables: wff set class |
| Syntax hints: ∈ wcel 2205 Vcvv 2815 ℂcc 8141 1c1 8144 |
| 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 2216 ax-1cn 8236 |
| This theorem depends on definitions: df-bi 117 df-sb 1812 df-clab 2221 df-cleq 2227 df-clel 2230 df-v 2817 |
| This theorem is referenced by: nn1suc 9273 nn0ind-raph 9713 fzprval 10438 fztpval 10439 m1expcl2 10947 1exp 10954 facnn 11114 fac0 11115 prhash2ex 11199 prodf1f 12254 fprodntrivap 12295 prod1dc 12297 fprodssdc 12301 ege2le3 12382 1nprm 12836 pcmpt 13066 ballotfilem2 13172 dvexp 15702 dvef 15718 lgsdir2lem3 16029 2wlklem 16497 konigsberglem4 16612 konigsberglem5 16613 2o01f 16894 iswomni0 16962 |
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