Definition df-nc 6102

Description: Define the cardinality operation. This is the unique cardinal number containing a given set. Definition from [Rosser] p. 371. (Contributed by Scott Fenton, 24-Feb-2015.)

Assertion

Ref	Expression
df-nc	|- Nc A = [A] ~~

Detailed syntax breakdown of Definition df-nc

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2	1	cnc 6092	. 2 class Nc A
3		cen 6029	. . 3 class ~~
4	1, 3	cec 5946	. 2 class [A] ~~
5	2, 4	wceq 1642	1 wff Nc A = [A] ~~

This definition is referenced by:  nceq  6109  ncex  6118  elncs  6120  ncidg  6123  ncprc  6125  elnc  6126  eqncg  6127  ncseqnc  6129  mucnc  6132  df0c2  6138  1cnc  6140  ncdisjeq  6149