Definition: A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.

Alright class, settle down, let’s talk about theorems! Now, you’ve read the dictionary definition, and that’s a good start, isn’t it? Let's break it down like we build a sturdy wall – each piece needs to fit just right. A theorem is really a fancy word for a proven mathematical idea. It’s something we believe to be true based on logical steps and calculations – think of it as a solid, undeniable fact within the world of numbers and shapes! The dictionary also tells us about some helpers: Propositions: These are smaller theorems, less flashy perhaps, but still important building blocks. Lemmas: Now these are like little stepping stones! They might not be exciting on their own, but they’re absolutely crucial for proving a bigger, more impressive theorem. Think of it this way: you need to build up to something grand, and lemmas help you reach the top! Let's put it in rhyme: “A theorem stands, strong and true, Because we’ve shown it, just for you! From logic bright, a shining light, A proven fact, both clear and right!” Do you have any questions about what a theorem is? Don't be shy - let's explore this together!