Definition df-sset 34137

Description: Define the subset class. For the value, see brsset 34170. (Contributed by Scott Fenton, 31-Mar-2012.)

Assertion

Ref	Expression
df-sset	⊢ SSet = ((V × V) ∖ ran ( E ⊗ (V ∖ E )))

Detailed syntax breakdown of Definition df-sset

Step	Hyp	Ref	Expression
1		csset 34113	. 2 class SSet
2		cvv 3430	. . . 4 class V
3	2, 2	cxp 5586	. . 3 class (V × V)
4		cep 5493	. . . . 5 class E
5	2, 4	cdif 3888	. . . . 5 class (V ∖ E )
6	4, 5	ctxp 34111	. . . 4 class ( E ⊗ (V ∖ E ))
7	6	crn 5589	. . 3 class ran ( E ⊗ (V ∖ E ))
8	3, 7	cdif 3888	. 2 class ((V × V) ∖ ran ( E ⊗ (V ∖ E )))
9	1, 8	wceq 1541	1 wff SSet = ((V × V) ∖ ran ( E ⊗ (V ∖ E )))

This definition is referenced by:  relsset  34169  brsset  34170