Representing being and having

Using there be to represent existence and location

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Using there exist

There + exist followed by a noun group is sometimes used to highlight important information in a sentence:

There exists a special friendship between the President and our captain, Francois Pienaar. (Bank of English)

Generally speaking, there + exist is found in formal written styles:

A number of scientific and philosophical arguments have been proposed against the hypothesis that there exist alien beings. (Bank of English)

Though Caruso had died in 1921, there existed many recordings of his performances, and these Tomatis tested with his sound equipment.
(Bank of English)

Introduction
Using there be to represent existence
Using there be to represent location
 Using there be with relative clauses
Using there be with infinitive clauses
 Using there be with that-clauses
 Using there exist
 Using there appear/seem