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Definition df-un 2891
Description: Define the union of two classes. Definition 5.6 of [TakeutiZaring] p. 16. Contrast this operation with difference (AB) (df-dif 2889) and intersection (AB) (df-in 2893). (Contributed by NM, 23-Aug-1993.)
Assertion
Ref Expression
df-un (AB) = {x ∣ (x A x B)}
Distinct variable groups:   x,A   x,B

Detailed syntax breakdown of Definition df-un
StepHypRef Expression
1 cA . . 3 class A
2 cB . . 3 class B
31, 2cun 2884 . 2 class (AB)
4 vx . . . . . 6 setvar x
54cv 1223 . . . . 5 class x
65, 1wcel 1367 . . . 4 wff x A
75, 2wcel 1367 . . . 4 wff x B
86, 7wo 613 . . 3 wff (x A x B)
98, 4cab 2000 . 2 class {x ∣ (x A x B)}
103, 9wceq 1224 1 wff (AB) = {x ∣ (x A x B)}
Colors of variables: wff set class
This definition is referenced by:  elun  3053  nfun  3068  unipr  3558  iinuniss  3701  bdcun  8319
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