A1: Proof
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From the DfE Mathematics AS and A-Level Content (LINK):
PLAYLIST
PLAYLIST
Introduction to Proof
Introduction to Proof
A1-01 [Introduction to Proof]
A1-01 [Introduction to Proof]
A1-02 [Introducing Consequence and Equivalence]
A1-02 [Introducing Consequence and Equivalence]
A1-03 [Consequence and Equivalence Examples]
A1-03 [Consequence and Equivalence Examples]
Proof by Exhaustion
Proof by Exhaustion
A1-04 [Introducing Proof by Exhaustion]
A1-04 [Introducing Proof by Exhaustion]
A1-05 [Proof by Exhaustion Examples]
A1-05 [Proof by Exhaustion Examples]
Proof by Deduction
Proof by Deduction
A1-06 [Introducing Proof by Deduction]
A1-06 [Introducing Proof by Deduction]
A1-07 [Proof by Deduction Examples]
A1-07 [Proof by Deduction Examples]
Disprove by Counter-Example
Disprove by Counter-Example
A1-08 [Introducing Disproof by Counter Example]
A1-08 [Introducing Disproof by Counter Example]
A1-09 [Disproof by Counter Example Examples]
A1-09 [Disproof by Counter Example Examples]
Proof by Contradiction
Proof by Contradiction
A1-10 Introducing Proof by Contradiction
A1-10 Introducing Proof by Contradiction
A1-11 Proving √2 is Irrational
A1-11 Proving √2 is Irrational
A1-12 Proving √3 is Irrational
A1-12 Proving √3 is Irrational
A1-13 Proving √3 is Irrational - Alternative
A1-13 Proving √3 is Irrational - Alternative
A1-14 Proving the Cube Root of 2 is Irrational
A1-14 Proving the Cube Root of 2 is Irrational
A1-15 Proving there are Infinitely Many Primes
A1-15 Proving there are Infinitely Many Primes
A1-16 Proof by Contradiction Examples
A1-16 Proof by Contradiction Examples