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Definition df-trans 5899
 Description: Define the set of all transitive relationships over a base set. (Contributed by SF, 19-Feb-2015.)
Assertion
Ref Expression
df-trans Trans
Distinct variable group:   ,,,,

Detailed syntax breakdown of Definition df-trans
StepHypRef Expression
1 ctrans 5888 . 2 Trans
2 vx . . . . . . . . . 10
32cv 1641 . . . . . . . . 9
4 vy . . . . . . . . . 10
54cv 1641 . . . . . . . . 9
6 vr . . . . . . . . . 10
76cv 1641 . . . . . . . . 9
83, 5, 7wbr 4639 . . . . . . . 8
9 vz . . . . . . . . . 10
109cv 1641 . . . . . . . . 9
115, 10, 7wbr 4639 . . . . . . . 8
128, 11wa 358 . . . . . . 7
133, 10, 7wbr 4639 . . . . . . 7
1412, 13wi 4 . . . . . 6
15 va . . . . . . 7
1615cv 1641 . . . . . 6
1714, 9, 16wral 2614 . . . . 5
1817, 4, 16wral 2614 . . . 4
1918, 2, 16wral 2614 . . 3
2019, 6, 15copab 4622 . 2
211, 20wceq 1642 1 Trans
 Colors of variables: wff setvar class This definition is referenced by:  transex  5910  trd  5921  trrd  5925
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