let L be non empty transitive antisymmetric complete RelStr ; :: thesis: for S being non empty infs-closed Subset of L
for X being Subset of S holds "/\" X,(subrelstr S) = "/\" X,L
let S be non empty infs-closed Subset of L; :: thesis: for X being Subset of S holds "/\" X,(subrelstr S) = "/\" X,L
let X be Subset of S; :: thesis: "/\" X,(subrelstr S) = "/\" X,L
ex_inf_of X,L by YELLOW_0:17;
hence "/\" X,(subrelstr S) = "/\" X,L by Th21; :: thesis: verum