If you would like to support my work, you can become a Youtube channel member. (click the Join button) This is my full introductory math proof course called "Prove it like a Mathematician" (Intro to mathematical proofs). I hope you enjoy it! TIMESTAMPS 0:00 What's a Proof 10:44 Logical Rules 17:38 Mathematical Sets 30:38 Quantifiers 41:50 Direct Proofs 52:35 Contrapositive 1:01:39 "If and Only If" 1:12:28 Proof by Contradiction 1:23:01 Theorems are always true. 1:27:48 Proof by Cases (Exhaustion) 1:38:56 Mathematical Induction 1:51:17 Strong Induction 1:54:40 Introduction to Function. 2:01:49 Existence Proofs 2:11:01 Uniqueness Proofs 2:18:22 False Proofs #math #brithemathguy #mathproofs This video was partially created using Manim. To learn more about animating with Manim, check out: Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.