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

Establishing truth of a statement through logical reasoning

Statement applies to all elements in a set

At least one element for which statement is true

Assume the opposite, show this leads to a contradiction

Consider all possible cases, show statement holds in each

Natural numbers (positive integers $\geq 1$)

All integers (positive, negative, and zero)

Is a member of

Intersection of sets (common elements)

Can be equal to (inclusive)