+1712 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:
\(tommarvoloriddle\)
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.
+1712 Thank you!!!
But what is your definition of short proof?
Less than 4 steps?
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)
+1712 Thank you!!!!!!
I get it now!!!
Time to start my finals prep...
T-T
