Description: Define the lower bound relationship functor. See brlb for value. (Contributed by Scott Fenton, 3-May-2018)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-lb | ⊢ LB 𝑅 = UB ◡ 𝑅 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 0 | cR | ⊢ 𝑅 | |
| 1 | 0 | clb | ⊢ LB 𝑅 | 
| 2 | 0 | ccnv | ⊢ ◡ 𝑅 | 
| 3 | 2 | cub | ⊢ UB ◡ 𝑅 | 
| 4 | 1 3 | wceq | ⊢ LB 𝑅 = UB ◡ 𝑅 |