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Definition df-connex 5903
 Description: Define the set of all connected relationships over a base set. (Contributed by SF, 19-Feb-2015.)
Assertion
Ref Expression
df-connex Connex = {r, a x a y a (xry yrx)}
Distinct variable group:   r,a,x,y

Detailed syntax breakdown of Definition df-connex
StepHypRef Expression
1 cconnex 5892 . 2 class Connex
2 vx . . . . . . . 8 setvar x
32cv 1641 . . . . . . 7 class x
4 vy . . . . . . . 8 setvar y
54cv 1641 . . . . . . 7 class y
6 vr . . . . . . . 8 setvar r
76cv 1641 . . . . . . 7 class r
83, 5, 7wbr 4639 . . . . . 6 wff xry
95, 3, 7wbr 4639 . . . . . 6 wff yrx
108, 9wo 357 . . . . 5 wff (xry yrx)
11 va . . . . . 6 setvar a
1211cv 1641 . . . . 5 class a
1310, 4, 12wral 2614 . . . 4 wff y a (xry yrx)
1413, 2, 12wral 2614 . . 3 wff x a y a (xry yrx)
1514, 6, 11copab 4622 . 2 class {r, a x a y a (xry yrx)}
161, 15wceq 1642 1 wff Connex = {r, a x a y a (xry yrx)}
 Colors of variables: wff setvar class This definition is referenced by:  connexex  5913  connexrd  5930  connexd  5931
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