Proving Properties of Modular Congruence

In this video, we prove three properties of modular congruence. Each of these properties are conditional statements that can be proven directly by making the necessary assumption and unpacking the definition of modular congruence. Therefore, these are great examples for someone who wants to practice the direct proof method or wants an introduction to proofs involving modular congruence. These examples also highlight the useful proving technique of "unpacking the conclusion". I hope this helps!
Timestamps:
0:00 - Introduction
1:07 - Reviewing the definition
2:22 - Proving statement 1
9:00 - Proving statement 2
15:00 - Proving statement 3
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[@prince.c8458]

This video was great!

[@JunhyukJang-lr7ct]

Yo big dawg appreciate what you do you teach so chill I just got back into school after finish calc 2 in highschool like 4 years ago and now struggling w the most basic trig so the videos help a lot

[@emilengstrm8119]

Another great video!

[@wawayseh]

is the first proof biconditional? or are any of these proofs biconditional?

[@NikolajKuntner]

Suppose. Then. So. So. So. Then.

[@BrainGainzOfficial]

I feel attacked.

[@AbdikaniHeroboy]

Never give up teachers keep walking 🚶 🚶