## Practice in Proving Theorems - option #1

(I am upgrading the format, as reflected in option #2. I will be deleting option #1 after I have migrated its contents to option #2. -mj)

Exercise #1 (has been moved to task #1003 of option #2)

(proving that the square root of 2 is irrational)

Exercise #2 (has been moved to task #1001 of option #2)

Exercise #3

(proving the Heine-Borel Covering Theorem)

Exercise #4

(proving Lagrange's Theorem: The order of a subgroup of a finite group divides the order of the group.)

(end of page)

Exercise #1 (has been moved to task #1003 of option #2)

(proving that the square root of 2 is irrational)

Exercise #2 (has been moved to task #1001 of option #2)

Exercise #3

(proving the Heine-Borel Covering Theorem)

Exercise #4

(proving Lagrange's Theorem: The order of a subgroup of a finite group divides the order of the group.)

(end of page)