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 ) |