demonstrably
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demonstrably
Used as an adverb and means that something can be proven or substantiated; provably, as has been shown.
Der Angeklagte war zur Tatzeit nachweislich in einer anderen Stadt.
The defendant was demonstrably in another city at the time of the crime.
The word is derived from the verb 'nachweisen' (to prove), which means 'beweisen' (to prove). The ending '-lich' turns it into an adjective or adverb meaning 'provable' or 'demonstrably'.
Diese Methode ist nachweislich die effektivste.
This method is demonstrably the most effective.
As an adverb, 'nachweislich' (demonstrably) can stand at the beginning of the sentence (position 1) or inside the sentence. If it stands at the beginning, the verb follows directly after it.
Nachweislich hat er die Wahrheit gesagt.
Demonstrably, he told the truth.
'Nachweislich' (demonstrably) is often used in formal, official, or scientific contexts. It emphasizes that a statement is based on facts or evidence.
Der Klimawandel führt nachweislich zu extremeren Wetterereignissen.
Climate change demonstrably leads to more extreme weather events.
indeed / actual
'tatsächlich' and 'nachweislich' can both say that something is really true. 'tatsächlich' only emphasizes that something is real or that you are surprised by it. 'nachweislich' goes one step further: it means that there is proof or clear evidence for it. Learners may confuse the words because both express certainty. If you only want to say that something really happened, 'tatsächlich' fits. If you want to show that it can be proven, 'nachweislich' is more precise.
Der Kurs hat nachweislich vielen Teilnehmern beim Lernen geholfen.
The course has demonstrably helped many participants with their learning.
Im Büro versteht Hannes die neue Aufgabe tatsächlich sofort.
At the office, Hannes actually understands the new task right away.