Definition df-sset 35361

Description: Define the subset class. For the value, see brsset 35394. (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 35337	. 2 class SSet
2		cvv 3468	. . . 4 class V
3	2, 2	cxp 5667	. . 3 class (V × V)
4		cep 5572	. . . . 5 class E
5	2, 4	cdif 3940	. . . . 5 class (V ∖ E )
6	4, 5	ctxp 35335	. . . 4 class ( E ⊗ (V ∖ E ))
7	6	crn 5670	. . 3 class ran ( E ⊗ (V ∖ E ))
8	3, 7	cdif 3940	. 2 class ((V × V) ∖ ran ( E ⊗ (V ∖ E )))
9	1, 8	wceq 1533	1 wff SSet = ((V × V) ∖ ran ( E ⊗ (V ∖ E )))

This definition is referenced by:  relsset  35393  brsset  35394