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Theorem decex 12681
Description: A decimal number is a set. (Contributed by Mario Carneiro, 17-Apr-2015.) (Revised by AV, 6-Sep-2021.)
Assertion
Ref Expression
decex ๐ด๐ต โˆˆ V

Proof of Theorem decex
StepHypRef Expression
1 df-dec 12678 . 2 ๐ด๐ต = (((9 + 1) ยท ๐ด) + ๐ต)
21ovexi 7443 1 ๐ด๐ต โˆˆ V
Colors of variables: wff setvar class
Syntax hints:   โˆˆ wcel 2107  Vcvv 3475  (class class class)co 7409  1c1 11111   + caddc 11113   ยท cmul 11115  9c9 12274  cdc 12677
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1914  ax-6 1972  ax-7 2012  ax-8 2109  ax-9 2117  ax-ext 2704  ax-nul 5307
This theorem depends on definitions:  df-bi 206  df-an 398  df-or 847  df-tru 1545  df-fal 1555  df-ex 1783  df-sb 2069  df-clab 2711  df-cleq 2725  df-clel 2811  df-ne 2942  df-v 3477  df-dif 3952  df-un 3954  df-in 3956  df-ss 3966  df-nul 4324  df-sn 4630  df-pr 4632  df-uni 4910  df-iota 6496  df-fv 6552  df-ov 7412  df-dec 12678
This theorem is referenced by:  nfermltl2rev  46411
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