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Proof of the Associativity of the Supremum (Sup{ Sup{ a, b }, c } = Sup{ a, Sup{ b, c } })
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In this exercise we will proof that the Supremum of two elements is associative.
⏰ Timeline
00:00 Exercise
00:20 Partial order
00:45 Supremum
01:22 Sketch
02:59 Gathering information
05:10 Conclusion
🔢 Statement to proof
Sup{ Sup{ a, b }, c } = Sup{ a, Sup{ b, c } }
📜 All Discrete Mathematics Exercises
📜 All Linear Algebra Exercises
🎵 Music
Creative Commons — Attribution 3.0 Unported — CC BY 3.0
⏰ Timeline
00:00 Exercise
00:20 Partial order
00:45 Supremum
01:22 Sketch
02:59 Gathering information
05:10 Conclusion
🔢 Statement to proof
Sup{ Sup{ a, b }, c } = Sup{ a, Sup{ b, c } }
📜 All Discrete Mathematics Exercises
📜 All Linear Algebra Exercises
🎵 Music
Creative Commons — Attribution 3.0 Unported — CC BY 3.0