Metamath Proof Explorer


Definition df-lb

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

Detailed syntax breakdown

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