In this paper, the concept of a dual Heyting Almost Distributive Lattice (Dual H-ADL) as a generalization of a dual Heyting algebra in the class of ADLs is introduced and studied its properties. We characterize a Dual H-ADL in terms of its principal ideals. Necessary and sufficient conditions are derived. It is shown that every dual H-ADL is Dual Pseudo-Complemented Almost Distributive Lattice.
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