true theorem
[truː ˈθɪərəm]
nounpl: true theorems
teorema verdadeiro
1. A mathematical statement that has been proven to be true based on axioms, definitions, and previously established theorems
The Pythagorean theorem is a true theorem in Euclidean geometry.
O teorema de Pitágoras é um teorema verdadeiro na geometria euclidiana.
2. A proposition in logic or mathematics whose truth value has been formally verified through rigorous proof
After decades of work, Fermat's Last Theorem was finally established as a true theorem in 1995.
Após décadas de trabalho, o Último Teorema de Fermat foi finalmente estabelecido como um teorema verdadeiro em 1995.
In both Brazilian and American academic contexts, 'true theorem' is technical mathematical language used in formal education. The distinction between conjectures and true theorems is fundamental to mathematical practice and represents the rigor of mathematical discourse.
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