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Definition df-nfc 2145
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 quantifier or something that expands to one (such as "there exists at most one"). It is defined in terms of the not-free predicate df-nf 1326 for wffs; see that definition for more information. (Contributed by Mario Carneiro, 11-Aug-2016.)
Assertion
Ref Expression
df-nfc  F/_  F/
Distinct variable groups:   ,   ,
Allowed substitution hint:   ()

Detailed syntax breakdown of Definition df-nfc
StepHypRef Expression
1 vx . . 3  setvar
2 cA . . 3
31, 2wnfc 2143 . 2  F/_
4 vy . . . . . 6  setvar
54cv 1225 . . . . 5
65, 2wcel 1370 . . . 4
76, 1wnf 1325 . . 3  F/
87, 4wal 1224 . 2  F/
93, 8wb 98 1  F/_  F/
Colors of variables: wff set class
This definition is referenced by:  nfci  2146  nfcr  2148  nfcd  2151  nfceqi  2152  nfceqdf  2155  nfnfc1  2159  nfnfc  2162  drnfc1  2172  drnfc2  2173  dfnfc2  3568
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