Definition df-rpss 6565

Description: Define a relation which corresponds to proper subsethood df-pss 3477 on sets. This allows us to use proper subsethood with general concepts that require relations, such as strict ordering, see sorpss 6570. (Contributed by Stefan O'Rear, 2-Nov-2014.)

Assertion

Ref	Expression
df-rpss	|- [ C.] = { <. x , y >. | x C. y }

Distinct variable group:   x, y

Detailed syntax breakdown of Definition df-rpss

Step	Hyp	Ref	Expression
1		crpss 6564	. 2 class [ C.]
2		vx	. . . . 5 setvar x
3	2	cv 1382	. . . 4 class x
4		vy	. . . . 5 setvar y
5	4	cv 1382	. . . 4 class y
6	3, 5	wpss 3462	. . 3 wff x C. y
7	6, 2, 4	copab 4494	. 2 class { <. x , y >. | x C. y }
8	1, 7	wceq 1383	1 wff [ C.] = { <. x , y >. | x C. y }

This definition is referenced by:  relrpss  6566  brrpssg  6567