# ProofWiki:Potw

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## Current Featured Proof

### HOW TO USE THIS PAGE

- 1. Select the proof P you want to put up as POTW.
- 2. Edit P to put this at the top:

`<!--{{Previous POTW|<today>}}-->`

- replacing
`<today>`with today's date.

- 3. Edit the previous POTW to change:
`<!--{{Previous POTW|<somedate>}}-->`

- to:
`{{Previous POTW|<somedate>|<today>}}`

- 4. Edit
**this**page to:- (a) add the old POTW to the top of the list;
- (b) put the new POTW into the two places where the last one was.

- 5. There appears to be a bug in MediaWiki (at least, in the version installed as of the 4th July 2014) which causes any transcluded pages not to be refreshed in a parent page until that parent page is edited.

- So, the final step is: Edit and Save the Main Page (making
**no**changes to it).

- So, the final step is: Edit and Save the Main Page (making

### Previous featured proofs

- Number of Primes is Infinite
- Complex Numbers cannot be Totally Ordered
- Length of Arc of Astroid
- Area of Triangle in Terms of Circumradius
- Fundamental Theorem of Calculus/Second Part/Proof 2
- Brahmagupta-Fibonacci Identity
- Primitive of Reciprocal of x squared plus a squared
- Intersection of Relation with Inverse is Symmetric Relation
- Between two Real Numbers exists Rational Number
- De Méré's Paradox
- Cauchy Condensation Test
- Congruence of Sum of Digits to Base Less 1
- Rule of Material Implication/Formulation 1
- Identity of Points
- Differentiable Function is Continuous
- Harmonic Series is Divergent/Proof 1
- Square Root of 2 is Irrational/Classic Proof
- Difference Between Adjacent Square Roots Converges
- Image of Intersection under One-to-Many Relation
- Fundamental Theorem on Equivalence Relations
- Linear Transformation as Matrix Product
- König's Tree Lemma
- Mean Value Theorem
- Brahmagupta Theorem
- Orbit-Stabilizer Theorem
- Variance as Expectation of Square minus Square of Expectation
- Integrating Factor for First Order ODE
- Cassini's Identity
- Bayes' Theorem
- Solution to Linear First Order Ordinary Differential Equation
- Basis Representation Theorem
- Odd Number Theorem
- Euler's Number is Irrational
- Kleene's Normal Form Theorem
- Picard's Existence Theorem
- Fundamental Theorem of Arithmetic
- Peak Point Lemma
- Closed Form for Triangular Numbers
- Existence of Euler-Mascheroni Constant
- Cauchy Mean Value Theorem
- Sum of Angles of Triangle equals Two Right Angles
- Monotone Convergence Theorem (Real Analysis)
- Bhaskara's Lemma
- Conjugacy Class Equation
- Fermat's Two Squares Theorem
- L'Hôpital's Rule
- Banach-Tarski Paradox
- Rolle's Theorem
- Heron's Formula
- Area of Circle
- Zero and One are the only Consecutive Perfect Squares/Proof 1
- Chinese Remainder Theorem/General Result
- Sigma Function is Multiplicative
- Euclid's Lemma for Prime Divisors
- Lebesgue's Number Lemma
- Cardano's Formula
- Area of Square
- Integration by Parts
- Euclid's Lemma
- Combination Theorem for Sequences
- Russell's Paradox
- Derivative of Composite Function
- First Sylow Theorem
- Euler Phi Function of Integer
- Fundamental Principle of Counting
- Partition Equation
- Archimedean Principle
- Pascal's Rule
- Division Theorem
- Lagrange's Theorem (Group Theory)
- Solution to Quadratic Equation
- Handshake Lemma
- Cantor-Bernstein-Schröder Theorem
- Euler's Formula
- Fermat's Little Theorem
- Cantor's Theorem
- Euclid's Theorem
- Binomial Theorem
- Existence of Rational Powers of Irrational Numbers
- Law of Cosines
- Pythagoras's Theorem