Definition:Left Operation

Definition
Let $$S$$ be a set.

For any $$x, y \in S$$, the left operation on $$S$$ is the binary operation defined as:


 * $$\forall x, y \in S: x \leftarrow y = x$$

It is clear that the left operation is the same thing as the first projection on $S \times S$:
 * $$\forall \left({x, y}\right) \in S \times S: \operatorname{pr}_1 \left({x, y}\right) = x$$

Also see

 * Right Operation