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Definition df-iin 4098
 Description: Define indexed intersection. Definition of [Stoll] p. 45. See the remarks for its sibling operation of indexed union df-iun 4097. An alternate definition tying indexed intersection to ordinary intersection is dfiin2 4128. Theorem intiin 4147 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 4096 . 2
5 vy . . . . . 6
65cv 1652 . . . . 5
76, 3wcel 1726 . . . 4
87, 1, 2wral 2707 . . 3
98, 5cab 2424 . 2
104, 9wceq 1653 1
 Colors of variables: wff set class This definition is referenced by:  eliin  4100  iineq1  4109  iineq2  4112  nfiin  4122  nfii1  4124  dfiin2g  4126  cbviin  4131  intiin  4147  0iin  4151  viin  4152  iinxsng  4169  iinxprg  4170  iinuni  4176
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