How the actoins of meiosis explain mendel's law of indepedent orment?

During prophase of meosis 1, the logous chromosome pairs form close attractions and line up close to eachother. This is called synapsis. When they are close enough, crossing over of genes occurs, some from one chromsome randomly switch with some of another. This makes a random ortment of genes and ensures that no two offspring will be the same because each chromsome will have a different genetic code due to crossing over. In the end of meosis you will have 4 genetically unique daughter cells due to the crossing over. I believe this is mendel's law of independent ortment.