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#theorem 8.5 #settheory #schaumseries #mathematicsinstructor Assalam-o-Alaikum Everyone! Welcome to Mathematics Instructor. In this video lecture we will discuss an important theorem " Every Element in a Well ordered set has a Unique Immediate Successor except the last element"..................................... I hope this video will be helpful for you. To get latest video, do subscribe my channel and also share. Thank you so much..................................................... .......................................................................................................................................................................................................................................................... Set theory lec#1: • Lec#1||Set (Definition and Notation)||Set ... Set theory lec#2: • Lec#2||Representation of a Set||Tabular fo... Set theory lec#3: • Lec#3||Types of Set||Subset||Superset||Pow... Set theory lec#4: • Lec#4||Equipotent Set||Examples||Chapter#6... Set theory lec#5: • Lec#5||Prove that [0,1] ≈ [a,b] and [a,b]... Set theory lec#6: • Lec#6||Composition of two bijective functi... Set theory lec#7: • Lec#7||The relation of being Equipotent is... Set theory lec#8: • Lec#8||Example#6.2||Set Theory by Schaum's... Set theory lec#9: • Lec#9||Denumerable Set||Countable & Uncoun... Set theory lec#10: • Lec#10||Every Infinite Set contains a Denu... Set theory lec#11: • Lec#11||Every subset of a Denumerable set ... Set theory lec#12: • Lec#12|| If A is finite set & B is Denumer... Set theory lec#13: • Lec#13||A subset of Countable set is Count... Set theory lec#14: • Lec#14||A countable union of countable set... Set theory lec#15: • Lec#15||Union of two Denumerable sets is D... Set theory lec#16: • Lec#16||Set Q of Rational numbers is Denum... Set theory lec#17: • Видео Set theory lec#18 • Lec#18||If A is an Infinite set & F is Fin... Set theory lec#19: • Lec#19||If A is an Uncountable set & B is ... Set theory lec#20 • Lec#20||Prove that Closed interval [0,1] i... Set theory lec#21: • Lec#21||Characteristic Function||Prove tha... Set theory lec#22: • Lec#22||Power of Continuum||Cardinal Numbe... Set theory lec#23: • Lec#23||Ordering of Cardinal numbers||Set ... Set theory lec#24: • Lec#24|| Cantor's Theorem || Set Theory by... Set theory lec#25: • Lec#25||Prove that C=2^alph-naught||Set Th... Set theory lec#26: • Lec#26||Schroeder Bernstein Theorem||Set T... Set theory lec#27: • Lec#27||Cardinal Arithmetic||Addition of C... Set Theory lec#28: • Lec#28||Problem 6.27||If 𝛼 is any infinite... Set theory lec#29: • Lec#29||Cardinal Arithmetic||Multiplicatio... Set theory lec#30: • Lec#30||Problem 6.26||Prove that ℵ.𝑐=𝑐||Se... Set theory lec#31: • Lec#31||Properties of Addition & Multiplic... Set theory lecture#32 • Lec#32||Exponent and Cardinal Numbers||Set... Set theory lec#33: • Lec#33||Theorem 6.16||Theorem of Exponents... Set theory lec#34: • Lec#34||Partially Ordered Sets||Set Theory... Set theory lecture#35: • Lec#35||Examples of Partially Ordered Set|... Set theory lec#36: • Lec#36||Dual Order||Quasi Order||Usual Ord... Set theory lec#37: • Lec#37||Comparability||Linearly Ordered or... Set theory lec#38: • Lec#38||Product Order||Product Order is Pa... Set theory lec#39: • Lec#39||Lexicographical Order||Dictionary ... Set theory lec#40: • Lec#40||Hasse Diagram||Immediate Predecess... Set theory lec#41: • Lec#41||Minimal Element||Maximal Element||... Set theory lec#42: • Lec#42||First Element||Last Element||Examp... Set theory lec#43: • Lec#43||Supremum and Infimum||Upper and Lo... Set theory lec#44: • Lec#44||Isomorphic(Similar) Ordered Sets||... Set theory lec#45: • Lec#45||Theorem 7.2||If S is linearly orde... Set theory lec#46: • Lec#46||Theorem 7.3||Set Theory by Schaum'... Set theory lec#47: • Lec#47||Theorem 7.4||If S is order isomorp... Set theory lec#48: • Lec#48||Theorem 7.5||The relation of order... Set theory lec#49: • Lec#49||Problem 7.31||Set Theory by Schaum... Set theory lec#50: • Lec#50||Problem 7.32||Set Theory by Schaum... Set theory lec#51: • Lec#51||Well Ordered Set||Theorem 8.1||Set... Set theory lec#52: • Lec#52||Concatenation or Sum Order||Limit ... .......................................................................................................................................................................................................................................................... Topology lectures link: • Topology .......................................................................................................................................................................................................................................................... Complex Analysis lectures: • Complex Analysis-I by Dennis G. 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