consider R being Relation such that
A1:
( R preserves_No_Comparison_on ClosedProd (R,A,A) & R c= ClosedProd (R,A,A) )
by Th28;
take
R
; ( R preserves_No_Comparison_on [:(Day (R,A)),(Day (R,A)):] & R c= [:(Day (R,A)),(Day (R,A)):] )
thus
( R preserves_No_Comparison_on [:(Day (R,A)),(Day (R,A)):] & R c= [:(Day (R,A)),(Day (R,A)):] )
by A1, Lm3; verum