Quantifier/Examples/Square of Sum
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Example of Use of Universal Quantifier
- $\forall x: x \in \R \implies \paren {x + 2}^2 = x^2 + 4 x + 4$
means:
- Every real number $x$ satisfies the equation $\paren {x + 2}^2 = x^2 + 4 x + 4$.
Sources
- 1972: A.G. Howson: A Handbook of Terms used in Algebra and Analysis ... (previous) ... (next): $\S 1$: Some mathematical language: Variables and quantifiers