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| Mirrors > Home > MPE Home > Th. List > 3ex | Structured version Visualization version GIF version | ||
| Description: The number 3 is a set. (Contributed by David A. Wheeler, 8-Dec-2018.) |
| Ref | Expression |
|---|---|
| 3ex | ⊢ 3 ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 3cn 12262 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 3452 | 1 ⊢ 3 ∈ V |
| Colors of variables: wff setvar class |
| Syntax hints: ∈ wcel 2114 Vcvv 3429 ℂcc 11036 3c3 12237 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1912 ax-6 1969 ax-7 2010 ax-8 2116 ax-9 2124 ax-ext 2708 ax-1cn 11096 ax-addcl 11098 |
| This theorem depends on definitions: df-bi 207 df-an 396 df-tru 1545 df-ex 1782 df-sb 2069 df-clab 2715 df-cleq 2728 df-clel 2811 df-v 3431 df-2 12244 df-3 12245 |
| This theorem is referenced by: fztpval 13540 funcnvs4 14877 iblcnlem1 25755 basellem9 27052 lgsdir2lem3 27290 axlowdimlem7 29017 axlowdimlem8 29018 axlowdimlem9 29019 axlowdimlem13 29023 3wlkdlem4 30232 3pthdlem1 30234 upgr4cycl4dv4e 30255 konigsberglem4 30325 konigsberglem5 30326 ex-pss 30498 ex-fv 30513 ex-1st 30514 ex-2nd 30515 rabren3dioph 43243 lhe4.4ex1a 44756 nnsum4primesodd 48272 nnsum4primesoddALTV 48273 usgrexmpl1lem 48497 usgrexmpl2lem 48502 usgrexmpl2nb0 48507 usgrexmpl2nb1 48508 usgrexmpl2nb2 48509 usgrexmpl2nb3 48510 usgrexmpl2nb4 48511 usgrexmpl2trifr 48513 zlmodzxzldeplem 48974 |
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