The statement Jesus exists is a singular existential statement, because it is a singular statement and it states the existence of its subject.
The statement In 1697, during the expedition of Dutch explorer Willem de Vlamingh, there were black swans on the Swan River in Australia is a singular existential statement, while There are black swans is not.
reflexive statement unity substatement absolute form individualizer univocal main clause mononym standards of identity subject clause
Save “singular existential statement” to learn later