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In a sentence
Nikto nepochybuje o existencii problému.
Nobody doubts the existence of the problem.
Existencia starých dokumentov všetkých prekvapila.
The existence of the old documents surprised everyone.
Bez práce je existencia rodiny ťažšia.
Without work a family's livelihood is harder.
Existencia života na iných planétach zostáva otázkou.
The existence of life on other planets remains an open question.
Source
Slovak National Corpus (SNK) ↗English gloss from the frequency publish path. Hand-reviewed example sentences.
Full attribution on References.