When you infringe on someone's space, time, or rights, you're getting involved in a way that is not cool. That's why, when you violate a copyright, you're said to infringe upon it.

Infringe is almost always used with the prepositions "on" or "upon," as in, "if you infringe on my rights, I'll sue you." Nobody knows why that's the case. Our language is full of rules and traditions that just are the way they are. We call these phrases "idiomatic." To infringe "on" or "upon" something is one of those. You don't infringe "into" someone's conversation. You infringe "upon" it. Case closed.

Definitions of infringe

v advance beyond the usual limit

encroach, impinge
Type of:
advance, go on, march on, move on, pass on, progress
move forward, also in the metaphorical sense

v go against, as of rules and laws

conflict, contravene, run afoul
Type of:
breach, break, go against, infract, offend, transgress, violate
act in disregard of laws, rules, contracts, or promises

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