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 |