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Definition df-uni 3572
Description: Define the union of a class i.e. the collection of all members of the members of the class. Definition 5.5 of [TakeutiZaring] p. 16. For example, { { 1 , 3 } , { 1 , 8 } } = { 1 , 3 , 8 } . This is similar to the union of two classes df-un 2916. (Contributed by NM, 23-Aug-1993.)
Assertion
Ref Expression
df-uni  U.  {  |  }
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-uni
StepHypRef Expression
1 cA . . 3
21cuni 3571 . 2  U.
3 vx . . . . . 6  setvar
4 vy . . . . . 6  setvar
53, 4wel 1391 . . . . 5
64cv 1241 . . . . . 6
76, 1wcel 1390 . . . . 5
85, 7wa 97 . . . 4
98, 4wex 1378 . . 3
109, 3cab 2023 . 2  {  |  }
112, 10wceq 1242 1  U.  {  |  }
Colors of variables: wff set class
This definition is referenced by:  dfuni2  3573  eluni  3574  csbunig  3579  unipr  3585  uniuni  4149  bdcuni  9311
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