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Metamath Proof Explorer

Theorem elrelsrelim

Description: The element of the relations class is a relation. (Contributed by Peter Mazsa, 20-Jul-2019)

Ref Expression
Assertion elrelsrelim ( 𝑅 ∈ Rels → Rel 𝑅 )

Proof

Step Hyp Ref Expression
1 elrelsrel ⊢ ( 𝑅 ∈ Rels → ( 𝑅 ∈ Rels ↔ Rel 𝑅 ) )
2 1 ibi ⊢ ( 𝑅 ∈ Rels → Rel 𝑅 )