Thus and therefore (således, dermed, følgelig)

Formal consequence words

Everyday Danish states a result with derfor (therefore) or så (so). Written and formal Danish has a richer set:

DanishEnglishit points to
såledesthus, in this waythe manner, or the conclusion
dermedthus, with thatthe direct result
dervedtherebythe means
følgeligconsequentlythe logical result
af den grundfor that reasonthe reason just given

Fronted, each one takes the verb straight after it, before the subject:

Consequently, the prices rose.
Følgelig steg priserne.

Dermed or derved?

Dermed gives the result: "and so, with that". Derved gives the means: the result comes by doing what was just said.

The train was delayed, and thus we did not make the meeting.
Toget var forsinket, og dermed nåede vi ikke mødet.
We share the car and thereby use less gas.
Vi deler bilen og bruger derved mindre benzin.

Whole-clause frames

Det betyder at … ("that means that …") and its formal twin det medfører at … ("that leads to …") put the result in a full clause. There is no comma before at.

That means, so to speak, that we are starting from zero.
Det betyder så at sige at vi starter fra nul.

Så at sige ("so to speak") marks a word used loosely.

Når det kommer til + a noun is "when it comes to". It is a subordinate clause, so a comma follows it and the main clause starts with the verb:

When it comes to food, he is very picky.
Når det kommer til mad, er han meget kræsen.

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