Metamath Proof Explorer


Theorem ralel

Description: All elements of a class are elements of the class. (Contributed by AV, 30-Oct-2020)

Ref Expression
Assertion ralel ⊢ ∀ x ∈ A x ∈ A

Proof

Step Hyp Ref Expression
1 id ⊢ x ∈ A → x ∈ A
2 1 rgen ⊢ ∀ x ∈ A x ∈ A