Definition df-dif 3215

Description: Define the difference of two classes. See eldif 3221 for membership. (Contributed by SF, 10-Jan-2015.)

Assertion

Ref	Expression
df-dif	|- (A \ B) = (A i^i ∼ B)

Detailed syntax breakdown of Definition df-dif

Step	Hyp	Ref	Expression
1		cA	. . 3 class A
2		cB	. . 3 class B
3	1, 2	cdif 3206	. 2 class (A \ B)
4	2	ccompl 3205	. . 3 class ∼ B
5	1, 4	cin 3208	. 2 class (A i^i ∼ B)
6	3, 5	wceq 1642	1 wff (A \ B) = (A i^i ∼ B)

This definition is referenced by:  eldif  3221  nfdif  3232  difeq1  3246  difeq2  3247  difsscompl  3549  compldif  4069  inindif  4075  difexg  4102  nnsucelrlem3  4426  ssfin  4470  sbthlem1  6203