Proof: Maximum of a Set is the Supremum | Real Analysis

Support the production of this course by joining Wrath of Math to access all my Real Analysis videos plus lecture notes at the premium tier!    / @wrathofmath   🛍 Check out my math fashion brand! https://mathshion.com/ Real Analysis course:    • Real Analysis   Real Analysis exercises:    • Real Analysis Exercises   Get the textbook! https://amzn.to/4lNpyNN Business Inquiries: wrathofmathlessons@gmail.com The maximum of a set is also the supremum of the set, we will prove this in today's lesson! This also applies to functions, since the range of a function is just a set of values. So if a function takes on a maximum value m, then the maximum m is also the supremum of the function. Definition of supremum and infimum of a set:    • Definition of Supremum and Infimum of a Se...   Proof Minimum of Set is the Infimum:    • Proof: Minimum of a Set is the Infimum | R...   Outro song:    • boxboys ~ disability   Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu