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Definition df-int 3582
 Description: Define the intersection of a class. Definition 7.35 of [TakeutiZaring] p. 44. For example, ∩ { { 1 , 3 } , { 1 , 8 } } = { 1 } . Compare this with the intersection of two classes, df-in 2895. (Contributed by NM, 18-Aug-1993.)
Assertion
Ref Expression
df-int A = {xy(y Ax y)}
Distinct variable group:   x,y,A

Detailed syntax breakdown of Definition df-int
StepHypRef Expression
1 cA . . 3 class A
21cint 3581 . 2 class A
3 vy . . . . . . 7 setvar y
43cv 1225 . . . . . 6 class y
54, 1wcel 1369 . . . . 5 wff y A
6 vx . . . . . 6 setvar x
76, 3wel 1370 . . . . 5 wff x y
85, 7wi 4 . . . 4 wff (y Ax y)
98, 3wal 1224 . . 3 wff y(y Ax y)
109, 6cab 2002 . 2 class {xy(y Ax y)}
112, 10wceq 1226 1 wff A = {xy(y Ax y)}
 Colors of variables: wff set class This definition is referenced by:  dfint2  3583  elint  3587  int0  3595  dfiin2g  3656  bdcint  8454  bdcriota  8460
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