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allative case

n. (context grammar English): case used to indicate movement onto, or to the adjacent of something. In English, this is usually expressed by the prepositions '''to''' or '''onto''', as in "to the house," "onto the house." Languages that use the allative case include Dyirbal, Finnish, Hungarian, Estonian, and Lithuanian.

Wikipedia
Allative case

Allative case ( abbreviated ; from Latin allāt-, afferre "to bring to") is a type of the locative cases used in several languages. The term allative is generally used for the lative case in the majority of languages which do not make finer distinctions.