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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 12253 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 3453 | 1 ⊢ 3 ∈ V |
| Colors of variables: wff setvar class |
| Syntax hints: ∈ wcel 2119 Vcvv 3431 ℂcc 11027 3c3 12228 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1802 ax-4 1816 ax-5 1917 ax-6 1974 ax-7 2015 ax-8 2121 ax-9 2129 ax-ext 2711 ax-1cn 11087 ax-addcl 11089 |
| This theorem depends on definitions: df-bi 208 df-an 397 df-tru 1550 df-ex 1787 df-sb 2074 df-clab 2718 df-cleq 2731 df-clel 2814 df-v 3433 df-2 12235 df-3 12236 |
| This theorem is referenced by: fztpval 13531 funcnvs4 14868 iblcnlem1 25773 basellem9 27070 lgsdir2lem3 27308 axlowdimlem7 29035 axlowdimlem8 29036 axlowdimlem9 29037 axlowdimlem13 29041 3wlkdlem4 30250 3pthdlem1 30252 upgr4cycl4dv4e 30273 konigsberglem4 30343 konigsberglem5 30344 ex-pss 30516 ex-fv 30531 ex-1st 30532 ex-2nd 30533 rabren3dioph 43260 lhe4.4ex1a 44773 nnsum4primesodd 48287 nnsum4primesoddALTV 48288 usgrexmpl1lem 48512 usgrexmpl2lem 48517 usgrexmpl2nb0 48522 usgrexmpl2nb1 48523 usgrexmpl2nb2 48524 usgrexmpl2nb3 48525 usgrexmpl2nb4 48526 usgrexmpl2trifr 48528 zlmodzxzldeplem 48989 |
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