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:

\(tommarvoloriddle\)

tommarvoloriddle Nov 28, 2019

#1**+1 **

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.

Guest Nov 28, 2019

#2**+1 **

Thank you!!!

But what is your definition of short proof?

Less than 4 steps?

tommarvoloriddle
Nov 28, 2019

#3**+1 **

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

#5