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Proposition: Multiplication of Complex Numbers Is Associative

The multiplication of complex numbers is associative, i.e. the law $(x\cdot y)\cdot z=x\cdot (y\cdot z)$ is valid for all $x,y,z\in\mathbb C$.

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983