False
False
That is a theorem.A theorem.
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
No. A corollary is a statement that can be easily proved using a theorem.
False
False
From the start, yes. But once the theorem has been proven it is usually a very minor extra bit.
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.
A theorem is a statement that is proved by deductive logic.
That is a theorem.A theorem.
No. A corollary is a statement that can be easily proved using a theorem.
A corollary is a statement that can easily be proved using a theorem.
No. A corollary is a statement that can be easily proved using a theorem.
A corollary.
theorem
If