Is it true the function of the network of veins in a leaf is to synthesize food?

The network of veins, also called venation, in a leaf has several functions. Firstly, it provides structural support to the leaf, allowing it to maintain its shape and surface area for optimal absorption of light and gases. Secondly, it transports water and nutrients absorbed by the roots to the rest of the plant through the xylem. Lastly, it transports the sugars and other nutrients produced through photosynthesis in the mesophyll cells of the leaf to the rest of the plant through the phloem. Thus, while the network of veins in a leaf does not directly synthesize food, it plays a crucial role in the overall process of nutrient transport and distribution within the plant.