theorem :: TOPALG_1:65

for X being non empty TopSpace
for a, b being Point of X st a,b are_connected holds
( not EqRel (X,a,b) is empty & EqRel (X,a,b) is total & EqRel (X,a,b) is symmetric & EqRel (X,a,b) is transitive ) by Lm3;