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Proposition: Unique Solvability of $a\ast x=b$ in Groups
In every group $(G,\ast),$ the equation \(a\ast x=b\) is uniquely solvable for all $a,b\in G$ and its solution is $x=a^{1}\ast b$ where $a^{1}$ is the inverse element of $a$ in $G.$
Table of Contents
Proofs: 1
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983