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Definition df-iin 3806
 Description: Define indexed intersection. Definition of [Stoll] p. 45. See the remarks for its sibling operation of indexed union df-iun 3805. An alternate definition tying indexed intersection to ordinary intersection is dfiin2 3836. Theorem intiin 3854 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:   ,   ,   ,
Allowed substitution hints:   ()   ()

Detailed syntax breakdown of Definition df-iin
StepHypRef Expression
1 vx . . 3
2 cA . . 3
3 cB . . 3
41, 2, 3ciin 3804 . 2
5 vy . . . . . 6
65cv 1618 . . . . 5
76, 3wcel 1621 . . . 4
87, 1, 2wral 2509 . . 3
98, 5cab 2239 . 2
104, 9wceq 1619 1
 Colors of variables: wff set class This definition is referenced by:  eliin  3808  iineq1  3817  iineq2  3820  nfiin  3830  nfii1  3832  dfiin2g  3834  cbviin  3838  intiin  3854  0iin  3858  viin  3859  iinxsng  3876  iinxprg  3877  iinuni  3883
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