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