ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F1354 on D537: Left identity element
F1354
Formulation 2
Let $S = (X, f)$ be an D21: Algebraic structure such that
(i) \begin{equation} X \neq \emptyset \end{equation}
A D2218: Set element $y \in X$ is a left identity element in $S$ if and only if \begin{equation} \forall \, x \in X : f(y, x) = x \end{equation}