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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 12238 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 3465 | 1 ⊢ 3 ∈ V |
| Colors of variables: wff setvar class |
| Syntax hints: ∈ wcel 2114 Vcvv 3442 ℂcc 11036 3c3 12213 |
| 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 2709 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 2716 df-cleq 2729 df-clel 2812 df-v 3444 df-2 12220 df-3 12221 |
| This theorem is referenced by: fztpval 13514 funcnvs4 14850 iblcnlem1 25757 basellem9 27067 lgsdir2lem3 27306 axlowdimlem7 29033 axlowdimlem8 29034 axlowdimlem9 29035 axlowdimlem13 29039 3wlkdlem4 30249 3pthdlem1 30251 upgr4cycl4dv4e 30272 konigsberglem4 30342 konigsberglem5 30343 ex-pss 30515 ex-fv 30530 ex-1st 30531 ex-2nd 30532 rabren3dioph 43172 lhe4.4ex1a 44685 nnsum4primesodd 48156 nnsum4primesoddALTV 48157 usgrexmpl1lem 48381 usgrexmpl2lem 48386 usgrexmpl2nb0 48391 usgrexmpl2nb1 48392 usgrexmpl2nb2 48393 usgrexmpl2nb3 48394 usgrexmpl2nb4 48395 usgrexmpl2trifr 48397 zlmodzxzldeplem 48858 |
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