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What a proof actually is: statements, conditions, the logic symbols ⇒, ⇐ and ⇔, and the standard number sets.
Building a watertight chain of algebra from definitions to a general conclusion — the workhorse of A-Level proof.
Splitting a statement into every possible case and checking each one — when it is valid and when it is not.
Why a single well-chosen example can destroy a claim, and how to hunt for one efficiently.
Assume the opposite and force an impossibility — including the classic proofs that √2 is irrational and the primes never end.
Work through each topic to complete the section.