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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 11876 | . 2 ⊢ 3 ∈ ℂ | |
2 | 1 | elexi 3417 | 1 ⊢ 3 ∈ V |
Colors of variables: wff setvar class |
Syntax hints: ∈ wcel 2112 Vcvv 3398 ℂcc 10692 3c3 11851 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1803 ax-4 1817 ax-5 1918 ax-6 1976 ax-7 2018 ax-8 2114 ax-9 2122 ax-ext 2708 ax-1cn 10752 ax-addcl 10754 |
This theorem depends on definitions: df-bi 210 df-an 400 df-tru 1546 df-ex 1788 df-sb 2073 df-clab 2715 df-cleq 2728 df-clel 2809 df-v 3400 df-2 11858 df-3 11859 |
This theorem is referenced by: fztpval 13139 funcnvs4 14445 iblcnlem1 24639 basellem9 25925 lgsdir2lem3 26162 axlowdimlem7 26993 axlowdimlem8 26994 axlowdimlem9 26995 axlowdimlem13 26999 3wlkdlem4 28199 3pthdlem1 28201 upgr4cycl4dv4e 28222 konigsberglem4 28292 konigsberglem5 28293 ex-pss 28465 ex-fv 28480 ex-1st 28481 ex-2nd 28482 rabren3dioph 40281 lhe4.4ex1a 41561 nnsum4primesodd 44864 nnsum4primesoddALTV 44865 zlmodzxzldeplem 45455 |
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