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Definition df-ixp 7490
Description: Definition of infinite Cartesian product of [Enderton] p. 54. Enderton uses a bold "X" with written underneath or as a subscript, as does Stoll p. 47. Some books use a capital pi, but we will reserve that notation for products of numbers. Usually represents a class expression containing free and thus can be thought of as (x). Normally, is not free in , although this is not a requirement of the definition. (Contributed by NM, 28-Sep-2006.)
Assertion
Ref Expression
df-ixp
Distinct variable groups:   ,   ,   ,

Detailed syntax breakdown of Definition df-ixp
StepHypRef Expression
1 vx . . 3
2 cA . . 3
3 cB . . 3
41, 2, 3cixp 7489 . 2
5 vf . . . . . 6
65cv 1394 . . . . 5
71cv 1394 . . . . . . 7
87, 2wcel 1818 . . . . . 6
98, 1cab 2442 . . . . 5
106, 9wfn 5588 . . . 4
117, 6cfv 5593 . . . . . 6
1211, 3wcel 1818 . . . . 5
1312, 1, 2wral 2807 . . . 4
1410, 13wa 369 . . 3
1514, 5cab 2442 . 2
164, 15wceq 1395 1
Colors of variables: wff setvar class
This definition is referenced by:  dfixp  7491  ss2ixp  7502  nfixp  7508  nfixp1  7509  ixpn0  7521
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