Language of Proof (AQA A-Level Mathematics): Quizzes

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Language of Proof
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What is a lemma in mathematical proof?

A supporting theorem to prove bigger results

What does the universal quantifier ∀\forall indicate?

Statement applies to all elements in a set

What does the existential quantifier ∃\exists mean?

At least one element makes it true

What is the starting point for proof by deduction?

General principles or known facts

How does proof by exhaustion work?

Consider all possible cases

What is proof by counterexample used for?

To disprove a statement

In proof by contradiction, what do you assume first?

The opposite of what you want to prove

What does the symbol ∩\cap represent in set notation?

Intersection of two sets

Which set is represented by Z\mathbb{Z}?

All integers

In interval notation, what do square brackets [ ] indicate?

Can be equal to

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