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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