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Real closed field
In mathematics, a real closed field is a field F {\displaystyle F} that has the same first-order properties as the field of real numbers. (First-order properties are those properties that can be expressed with the logic symbols ∀ , ∃ , ∨ , ∧ , ¬ , → {\displaystyle \forall ,\exists ,\vee ,\land ,\neg ,\to } and the arithmetic symbols 0 , 1 , + , − , × , ÷…
Decidability and quantifier elimination, Equivalent definitions & Order properties