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Definition df-iin 4333
 Description: Define indexed intersection. Definition of [Stoll] p. 45. See the remarks for its sibling operation of indexed union df-iun 4332. An alternate definition tying indexed intersection to ordinary intersection is dfiin2 4365. Theorem intiin 4384 provides a definition of ordinary intersection in terms of indexed intersection. (Contributed by NM, 27-Jun-1998.)
Assertion
Ref Expression
df-iin
Distinct variable groups:   ,   ,   ,

Detailed syntax breakdown of Definition df-iin
StepHypRef Expression
1 vx . . 3
2 cA . . 3
3 cB . . 3
41, 2, 3ciin 4331 . 2
5 vy . . . . . 6
65cv 1394 . . . . 5
76, 3wcel 1818 . . . 4
87, 1, 2wral 2807 . . 3
98, 5cab 2442 . 2
104, 9wceq 1395 1
 Colors of variables: wff setvar class This definition is referenced by:  eliin  4336  iineq1  4345  iineq2  4348  nfiin  4359  nfii1  4361  dfiin2g  4363  cbviin  4368  intiin  4384  0iin  4388  viin  4389  iinxsng  4407  iinxprg  4408  iinuni  4414  iineq12f  30573
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