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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 12321 | . 2 ⊢ 3 ∈ ℂ | |
| 2 | 1 | elexi 3485 | 1 ⊢ 3 ∈ V |
| Colors of variables: wff setvar class |
| Syntax hints: ∈ wcel 2149 Vcvv 3463 ℂcc 11097 3c3 12295 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1822 ax-4 1836 ax-5 1937 ax-6 1994 ax-7 2035 ax-8 2151 ax-9 2159 ax-ext 2741 ax-1cn 11157 ax-addcl 11159 |
| This theorem depends on definitions: df-bi 210 df-an 401 df-tru 1570 df-ex 1807 df-sb 2098 df-clab 2748 df-cleq 2761 df-clel 2844 df-v 3465 df-2 12302 df-3 12303 |
| This theorem is referenced by: fztpval 13613 funcnvs4 14951 iblcnlem1 25915 basellem9 27218 lgsdir2lem3 27456 axlowdimlem7 29238 axlowdimlem8 29239 axlowdimlem9 29240 axlowdimlem13 29244 3wlkdlem4 30453 3pthdlem1 30455 upgr4cycl4dv4e 30476 konigsberglem4 30546 konigsberglem5 30547 ex-pss 30719 ex-fv 30734 ex-1st 30735 ex-2nd 30736 rabren3dioph 43433 lhe4.4ex1a 44930 nnsum4primesodd 48449 nnsum4primesoddALTV 48450 usgrexmpl1lem 48674 usgrexmpl2lem 48679 usgrexmpl2nb0 48684 usgrexmpl2nb1 48685 usgrexmpl2nb2 48686 usgrexmpl2nb3 48687 usgrexmpl2nb4 48688 usgrexmpl2trifr 48690 zlmodzxzldeplem 49162 |
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