Real Function of Two Variables/Substitution for y/Examples/x + y/1 over 2

Examples of Substitution for $y$ in Real Function of Two Variables
Let $\map f {x, y}$ be the real function of $2$ variables defined on the domain $S \times T$ as:
 * $\forall \tuple {x, y} \in S \times T: \map f {x, y} := x + y$

where $S$ and $T$ are the closed real intervals:

Let $\dfrac 1 2$ be substituted for $y$ in $\map f {x, y}$.

Then: