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Definition df-eprel 4017
Description: Define the epsilon relation. Similar to Definition 6.22 of [TakeutiZaring] p. 30. The epsilon relation and set membership are the same, that is, (A E BA B) when B is a set by epelg 4018. Thus, 5 E { 1 , 5 }. (Contributed by NM, 13-Aug-1995.)
Assertion
Ref Expression
df-eprel E = {⟨x, y⟩ ∣ x y}
Distinct variable group:   x,y

Detailed syntax breakdown of Definition df-eprel
StepHypRef Expression
1 cep 4015 . 2 class E
2 vx . . . 4 setvar x
3 vy . . . 4 setvar y
42, 3wel 1391 . . 3 wff x y
54, 2, 3copab 3808 . 2 class {⟨x, y⟩ ∣ x y}
61, 5wceq 1242 1 wff E = {⟨x, y⟩ ∣ x y}
Colors of variables: wff set class
This definition is referenced by:  epelg  4018  rele  4409
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