id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3970	Panganduyon, Michelle; Canoy Jr., Sergio Rosales; Davvaz, Bijan	A Topology on a Hyper BCI-algebra Generated by a Hyper-order	2021	11	.pdf	application/pdf	4925	406	87	= ⋂ a∈A LH({a}) (v) If x ∈ H, then x ∈ LH({x}). Then y � x and y ∈ K. Since H is ordered, y � a for all a ∈ A. Hence, y ∈ LH(A) ∩ K showing that LH(x) ∩ K ⊆ LH(A) ∩ K. Consequently,⋃ x∈LH(A)∩K (LH(x) ∩K) ⊆ LH(A) ∩K. Next, let z ∈ LH(A)∩K. By Proposition 1(v), z ∈ LH(z).	cache/ejpam-3970.pdf	txt/ejpam-3970.txt