Lecture
This lecture delves into the proof of the Fubini Rule for pushouts, demonstrating how to compare two pushout diagrams by turning all maps into cofibrations and establishing equivalence. The instructor explains the process step by step, emphasizing the importance of homotopy extension properties and the construction of pushouts. Through various examples and diagrams, the lecture showcases how to apply the Fubini Rule to obtain homotopy pushouts and highlights the significance of transforming diagrams to ensure the resulting pushouts maintain their properties.