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Definition df-ref 5900
Description: Define the set of all reflexive relationships over a base set. (Contributed by SF, 19-Feb-2015.)
Assertion
Ref Expression
df-ref Ref = {r, a x a xrx}
Distinct variable group:   r,a,x

Detailed syntax breakdown of Definition df-ref
StepHypRef Expression
1 cref 5889 . 2 class Ref
2 vx . . . . . 6 setvar x
32cv 1641 . . . . 5 class x
4 vr . . . . . 6 setvar r
54cv 1641 . . . . 5 class r
63, 3, 5wbr 4639 . . . 4 wff xrx
7 va . . . . 5 setvar a
87cv 1641 . . . 4 class a
96, 2, 8wral 2614 . . 3 wff x a xrx
109, 4, 7copab 4622 . 2 class {r, a x a xrx}
111, 10wceq 1642 1 wff Ref = {r, a x a xrx}
Colors of variables: wff setvar class
This definition is referenced by:  refex  5911  refrd  5926  refd  5927
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