Here’s an animation for proof of 𝑋−(𝐴∪𝐵)=(𝑋−𝐴)∩(𝑋−𝐵) with Venn Diagram. Made it for my topology class for St. Joseph’s College, Bangalore (Finite complement topology). Please feel free to use it in your classrooms – if you found it useful, leave a comment below, would encourage me to create more content like this in future!

Alternatively, you can get in touch with me for the original PowerPoint (365) file.

Keywords: Complement of union of subsets is equal to intersection of complements.