Mathematical theorems | Mathematical terminology

Toy theorem

In mathematics, a toy theorem is a simplified instance (special case) of a more general theorem, which can be useful in providing a handy representation of the general theorem, or a framework for proving the general theorem. One way of obtaining a toy theorem is by introducing some simplifying assumptions in a theorem. In many cases, a toy theorem is used to illustrate the claim of a theorem, while in other cases, studying the proofs of a toy theorem (derived from a non-trivial theorem) can provide insight that would be hard to obtain otherwise. Toy theorems can also have educational value as well. For example, after presenting a theorem (with, say, a highly non-trivial proof), one can sometimes give some assurance that the theorem really holds, by proving a toy version of the theorem. (Wikipedia).

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Related pages

Brouwer fixed-point theorem | Corollary | Dimension | Mathematics | Mathematical proof | Function (mathematics) | Toy model | Mean value theorem | Rolle's theorem | Theorem | Lemma (mathematics) | Intermediate value theorem | Special case