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Explain what separates a proof from a collection of examples
Distinguish $P\Rightarrow Q$ from its converse and from $P\Leftrightarrow Q$
Prove a general statement directly by starting from a suitable algebraic form
Recognise when a statement can be split into a finite, complete set of cases
Explain why one counter-example disproves a universal statement
State the logic of proof by contradiction and negate a statement correctly
Work through each topic to complete the section.