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theorem
Also known as mathematical theorem, mathematical sentence
thumb|The Pythagorean theorem has at least 370 known proofs.
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A theorem is a mathematical statement that has been proven to be true based on logical reasoning and previously established facts. The Pythagorean theorem, which describes the relationship between the sides of a right triangle, is a famous example that mathematicians have verified through hundreds of different proofs, showing how important and useful such proven statements are.
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18 sectionsContents
- Theoremhood and truth
- Epistemological considerations
- Informal account of theorems
- Relation with scientific theories
- Terminology
- Layout
- Lore
- Theorems in logic
- Syntax and semantics
- Interpretation of a formal theorem
- Theorems and theories
- See also
- Citations
- Notes
- References
- Works cited
- Further reading
- External links
thumb|The Pythagorean theorem has at least 370 known proofs.
In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.