The crossword clue "helping theorem" refers to a mathematical term for a minor theorem that assists in proving a larger theorem. The answer commonly given is "lemma," which is a subsidiary proposition assumed true to support the proof of another proposition. A lemma is often called a "helping theorem" or an "auxiliary theorem" in mathematics.
Explanation of a Helping Theorem (Lemma)
- A lemma is a proven statement used mainly to prove other theorems.
- It is considered less important than the main theorem but essential for the overall proof.
- Well-known examples of lemmas include Bézout's lemma, Burnside's lemma, and Zorn's lemma.
Summary
The answer to the crossword clue "helping theorem" is typically "lemma," fitting the 5-letter requirement and mathematical usage as a minor aiding theorem in proofs.
