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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 12233 | . 2 ⊢ 3 ∈ ℂ | |
2 | 1 | elexi 3464 | 1 ⊢ 3 ∈ V |
Colors of variables: wff setvar class |
Syntax hints: ∈ wcel 2106 Vcvv 3445 ℂcc 11048 3c3 12208 |
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 1913 ax-6 1971 ax-7 2011 ax-8 2108 ax-9 2116 ax-ext 2707 ax-1cn 11108 ax-addcl 11110 |
This theorem depends on definitions: df-bi 206 df-an 397 df-tru 1544 df-ex 1782 df-sb 2068 df-clab 2714 df-cleq 2728 df-clel 2814 df-v 3447 df-2 12215 df-3 12216 |
This theorem is referenced by: fztpval 13502 funcnvs4 14803 iblcnlem1 25150 basellem9 26436 lgsdir2lem3 26673 axlowdimlem7 27895 axlowdimlem8 27896 axlowdimlem9 27897 axlowdimlem13 27901 3wlkdlem4 29104 3pthdlem1 29106 upgr4cycl4dv4e 29127 konigsberglem4 29197 konigsberglem5 29198 ex-pss 29370 ex-fv 29385 ex-1st 29386 ex-2nd 29387 rabren3dioph 41116 lhe4.4ex1a 42591 nnsum4primesodd 45960 nnsum4primesoddALTV 45961 zlmodzxzldeplem 46551 |
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