A corollary.
No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.
false
Neither. A theorem is a proven mathematical statement. This says nothing about how easily it can be proven. e.g. the Pythagorean Theorem is easily proven, but Fermat's Last Theorem is extremely difficult to prove.
That is a theorem.A theorem.
A corollary.
No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.
false
No, in fact it is the opposite. A corollary is normally a special case of a theorem and is usually sufficiently important for it to be proven separately from the theorem. This is so that it can then be used in the future. Corollaries follow a theorem and can usually be derived from it very easily.
Neither. A theorem is a proven mathematical statement. This says nothing about how easily it can be proven. e.g. the Pythagorean Theorem is easily proven, but Fermat's Last Theorem is extremely difficult to prove.
A Corollary
From the start, yes. But once the theorem has been proven it is usually a very minor extra bit.
theorem
theorem
That is a theorem.A theorem.
theorem
Theorem