Definition df-bnj14

Description: Define the function giving: the class of all elements of A that are "smaller" than X according to R . (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Assertion	df-bnj14	|- _pred ( X , A , R ) = { y e. A | y R X }

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cX	|- X
1		cA	|- A
2		cR	|- R
3	1 2 0	c-bnj14	|- _pred ( X , A , R )
4		vy	|- y
5	4	cv	|- y
6	5 0 2	wbr	|- y R X
7	6 4 1	crab	|- { y e. A | y R X }
8	3 7	wceq	|- _pred ( X , A , R ) = { y e. A | y R X }