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Proof that Congruence Modulo is an Equivalence Relation (Reflexive, Symmetric, Transitive)
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In this exercise we will proof that congruence modulo for the natural numbers a equivalence relation, meaning that we have to show that it is reflexive, symmetric and transitive.
⏰ Timeline
00:00 Exercise
00:11 Definition congruence modulo
01:40 Equivalence relation
01:55 Reflexitivity
02:35 Symmetry
03:25 Transitivity
05:09 Conclusion
📜 All Discrete Mathematics Exercises
📜 All Linear Algebra Exercises
🎵 Music
Creative Commons — Attribution 3.0 Unported — CC BY 3.0
⏰ Timeline
00:00 Exercise
00:11 Definition congruence modulo
01:40 Equivalence relation
01:55 Reflexitivity
02:35 Symmetry
03:25 Transitivity
05:09 Conclusion
📜 All Discrete Mathematics Exercises
📜 All Linear Algebra Exercises
🎵 Music
Creative Commons — Attribution 3.0 Unported — CC BY 3.0
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