corollary

What does "corollary" mean?
A corollary is a direct or logical consequence that follows naturally from an established fact, proposition, or theory. Think of it as a "bonus" truth: once you prove the main point, the corollary is the secondary insight that practically comes along for the ride without needing extra proof. It is primarily used in academic, mathematical, or formal argumentative contexts. You will often hear it used when someone is discussing the implications of a policy or a scientific discovery, highlighting how one truth inevitably leads to another.
"corollary" in conversation
Discussing a new office policy
If we move to fully remote work, the corollary is that we no longer need this expensive downtown office space.
If we move to fully remote work, the logical consequence is that we no longer need this expensive downtown office space.
Exactly, and we can reinvest that rent money into better software tools.
Exactly, and we can reinvest that rent money into better software tools.
Used here to describe a practical business consequence.
"corollary" in a sentence
A corollary of the new law is that taxes will likely increase.
A corollary of the new law is that taxes will likely increase.
The increase in urban density is a direct corollary of the city's rapid economic growth.
The increase in urban density is a direct corollary of the city's rapid economic growth.
The theorem states that all squares are rectangles; the corollary is that all squares possess four right angles.
The theorem states that all squares are rectangles; the corollary is that all squares possess four right angles.