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Definition df-nfc 2614
Description: Define the not-free predicate for classes. This is read " is not free in ". Not-free means that the value of cannot affect the value of , e.g., any occurrence of in is effectively bound by a "for all" or something that expands to one (such as "there exists"). It is defined in terms of the not-free predicate df-nf 1569 for wffs; see that definition for more information. (Contributed by Mario Carneiro, 11-Aug-2016.)
Assertion
Ref Expression
df-nfc
Distinct variable groups:   ,   ,
Allowed substitution hint:   ( )

Detailed syntax breakdown of Definition df-nfc
StepHypRef Expression
1 vx . . 3
2 cA . . 3
31, 2wnfc 2612 . 2
4 vy . . . . . 6
54cv 1669 . . . . 5
65, 2wcel 1732 . . . 4
76, 1wnf 1568 . . 3
87, 4wal 1564 . 2
93, 8wb 178 1
Colors of variables: wff set class
This definition is referenced by:  nfci  2615  nfcr  2617  nfcd  2620  nfceqi  2621  nfceqdf  2624  nfnfc1  2628  nfnfc  2631  drnfc1  2641  drnfc2  2642  dfnfc2  4135  nfnid  4544
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