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