Final answer:
The statement is true; the nuclear lamina disassembles and re-forms during cell division, during mitosis in the phases of prophase and telophase respectively.
Step-by-step explanation:
The statement, "The nuclear lamina disassembles and re-forms at each cell division," is true. The nuclear lamina is a dense fibrous network inside the nucleus of eukaryotic cells and plays a critical role in the disassembly and reassembly of the nucleus during the cell division process.
This process occurs during mitosis, where the nuclear envelope breaks down as part of prophase, leading to the separation of sister chromatids and the eventual re-formation of the nucleus in each of the daughter cells following division.