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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 11706 | . 2 ⊢ 3 ∈ ℂ | |
2 | 1 | elexi 3511 | 1 ⊢ 3 ∈ V |
Colors of variables: wff setvar class |
Syntax hints: ∈ wcel 2105 Vcvv 3492 ℂcc 10523 3c3 11681 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1787 ax-4 1801 ax-5 1902 ax-6 1961 ax-7 2006 ax-8 2107 ax-9 2115 ax-ext 2790 ax-1cn 10583 ax-addcl 10585 |
This theorem depends on definitions: df-bi 208 df-an 397 df-ex 1772 df-sb 2061 df-clab 2797 df-cleq 2811 df-clel 2890 df-v 3494 df-2 11688 df-3 11689 |
This theorem is referenced by: fztpval 12957 funcnvs4 14265 iblcnlem1 24315 basellem9 25593 lgsdir2lem3 25830 axlowdimlem7 26661 axlowdimlem8 26662 axlowdimlem9 26663 axlowdimlem13 26667 3wlkdlem4 27868 3pthdlem1 27870 upgr4cycl4dv4e 27891 konigsberglem4 27961 konigsberglem5 27962 ex-pss 28134 ex-fv 28149 ex-1st 28150 ex-2nd 28151 rabren3dioph 39290 lhe4.4ex1a 40538 nnsum4primesodd 43838 nnsum4primesoddALTV 43839 zlmodzxzldeplem 44481 |
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