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In a sentence
Výsledky sa preukázateľne zlepšili.
The results improved demonstrably.
Vysvetlil to preukázateľne a stručne.
He explained it demonstrably and briefly.
O téme hovorili preukázateľne na porade.
They discussed the topic demonstrably at the meeting.
Správu pripravili preukázateľne pre verejnosť.
They prepared the report demonstrably for the public.
Source
Slovak National Corpus (SNK) ↗English gloss from the frequency publish path. Hand-reviewed example sentences.
Full attribution on References.