Quick & Easy Proof of the Pumping Lemma for Regular Languages 🕒

Here we give a very quick proof of the pumping lemma for regular languages. The question just asks about strings that are also accepted in a given DFA. We partition the string up into pieces (as long as the string was accepted and at least the number of states), and repeat the middle piece, yielding another accepted string. Then, we make observations about where the middle piece can be. Easy Theory Website: https://www.easytheory.org GoFundMe: https://www.gofundme.com/f/easy-theory-video-studio Patreon: https://www.patreon.com/EasyTheoryYT Fourthwall: https://easy-theory-llc-shop.fourthwall.com Problem Solving channel: ​⁠ @easytheoryprobsolve If you like this content, please consider subscribing to my channel: https://www.youtube.com/channel/UC3VY6RTXegnoSD_q446oBdg?sub_confirmation=1