Theorems Meaning in English
word · lemma: theorem
Definition
Formal statements in mathematics or logic that can be proven to be true based on certain rules and known facts.
Usage & Nuances
Used in academic/formal settings, particularly in mathematics. Most often appears in plural when discussing multiple results ('several theorems'). Always refers to proven statements, not guesses or hypotheses. Common collocations: 'prove a theorem,' 'mathematical theorems,' 'Euclid's theorems.'
Example Sentences
These theorems help us solve complex problems.
basic
Many important theorems were proven by ancient mathematicians.
basic
We learned about geometry theorems in class today.
basic
Some mathematical theorems seem obvious, but their proofs can be surprisingly difficult.
natural
He loves reading about new theorems published in his favorite journal.
natural
After months of work, the team finally proved two groundbreaking theorems.
natural