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Sorry I left if you noticed.

 

I was just reeling under homework and stress and stuff.

 

 

But my (Math) question is simple:

 

What is the difference between a theorem and a Corollary?

 

Like what's the relationship?

 

 

According to my teachers:

 

A corollary is a theorem ++...

 

IN THEIR OWN WORDS!!!

 

And I was like:

 

What is the difference between a theorem and a Corollary?

 

And they SAID

 

Theorem just more advanced.

 

Like, which way?

 

Advanced like as a postulate or are they trying to sound fancy?

 

Could somebody explain it more clearly ???

 

 

Thank you in advance:

 

\(tommarvoloriddle\)

 Nov 28, 2019
edited by tommarvoloriddle  Nov 28, 2019
edited by tommarvoloriddle  Nov 28, 2019
 #1
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Theorem — a mathematical statement that is proved using rigorous mathematical reasoning.  In a mathematical paper, the term theorem is often reserved for the most important results.

2)Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”).

 

2)Corollary: A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. A corollary to that statement is that an equilateral triangle is also equiangular.

 Nov 28, 2019
 #2
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Thank you!!!

 

But what is your definition of short proof?

 

Less than 4 steps?

tommarvoloriddle  Nov 28, 2019
 #3
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I.E, Corollary comes from Theorems (1 theorem could have more than 5 corollaries) (you could say, corollary is derived from theorem but not the verse) 

Corollary is noticed from the theorem , theorem is noticed from a problem (You need a lot of proof for a theorem but no proof or just little for corollary) 

Guest Nov 28, 2019
 #4
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Yes, just few steps, not hard. 

Guest Nov 28, 2019
 #5
avatar+1681 
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Thank you!!!!!!

 

 

I get it now!!!

 

 

Time to start my finals prep...

 

 

T-T

tommarvoloriddle  Nov 28, 2019
 #6
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Hi Tom  laugh

 Nov 28, 2019
 #7
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Hi Melody!!!!!!!!!!

tommarvoloriddle  Nov 29, 2019

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