# Category:Pages with Questionable Content

From ProofWiki

These are pages containing proofs that are of questionable validity.

See the questionable template.

## Pages in category "Pages with Questionable Content"

The following 108 pages are in this category, out of 108 total.

### A

### B

### C

- Cantor-Bernstein-Schröder Theorem
- Cantor-Bernstein-Schröder Theorem/Proof 4
- Cauchy-Goursat Theorem
- Characterization of Lower Semicontinuity
- Definition:Class (Class Theory)
- Class Member of Class Builder
- Definition:Class/Zermelo-Fraenkel
- Closure in Subspace
- Definition:Coefficient of Polynomial
- Compact Hausdorff Topology is Minimal Hausdorff
- Conjunction with Tautology/Proof 1
- Construction of Outer Measure
- Continued Fraction Algorithm
- Continuous Functions on Compact Space form Banach Space
- Continuous Image of Compact Space is Compact/Corollary 3
- Continuous Image of Compact Space is Compact/Corollary 3/Proof 2
- Convergents are Best Approximations

### D

### E

- Equality implies Substitution
- Equidistance is Independent of Betweenness
- Equivalence of Definitions of Complex Exponential Function
- Equivalence of Definitions of Countable Set
- Equivalence of Definitions of Ordered Pair
- Existence and Uniqueness Theorem for 1st Order IVPs
- Existence of Abscissa of Convergence
- Existence of Positive Root
- Existence of Positive Root/Negative Exponent
- Exponential Tends to Zero and Infinity

### F

- Factorial Divides Product of Successive Numbers
- Factors of Integer Congruent to 5 modulo 6
- Fibonacci Number in terms of Larger Fibonacci Numbers
- First Order ODE/y' - f (y) phi' (x) over f' (y) = phi (x) phi' (x) over f' (y)
- Fixed Point of Mappings is Fixed Point of Composition/General Result
- Fourth Isomorphism Theorem

### I

- Definition:Image/Relation/Element/Singleton
- Definition:Imperial
- Definition:Imperial/Volume
- Integer as Sum of 27 Primes
- Intersection and Sum of Submodules
- Intersection and Sum of Submodules/Corollary
- Interval containing Prime Number of forms 4n - 1, 4n + 1, 6n - 1, 6n + 1
- Definition:Inverse Laplace Transform

### L

- Lagrange's Four Square Theorem
- Lagrange's Four Square Theorem/Proof 2
- Definition:Leading Coefficient of Polynomial
- Lebesgue Integral is Extension of Riemann Integral
- Limit at Infinity of Polynomial over Complex Exponential
- Definition:Limit Point/Topology/Set
- Definition:Limit Point/Topology/Set/Definition 5
- Locally Compact iff Open Neighborhood contains Compact Open Neighborhood
- Locally Compact iff Open Neighborhood contains Compact Set
- Logarithm of Infinite Product of Complex Functions/Corollary
- Logarithmic Derivative of Infinite Product of Analytic Functions
- Logical Consequence with Union

### M

### N

### P

- Definition:P-Group/Definition 1
- Pair is Union of Singletons
- Power of 2 is Difference between Two Powers
- Prime Enumeration Function is Primitive Recursive
- Prime Number Theorem
- Primitive of Exponential of a x by Sine of b x/Proof 2
- Primitive of Exponential of a x by Sine of b x/Proof 3
- Primitive of Reciprocal of p plus q by Cosine of a x
- Primitive of Reciprocal of p plus q by Cosine of a x/Proof 2
- Primitive of Reciprocal of Root of x squared minus a squared/Logarithm Form
- Definition:Primitive Recursion/One Variable
- Product of Two Distinct Primes has 4 Positive Divisors
- Proper Subset of Finite Ordinal is Equivalent to Smaller Ordinal

### R

### S

- Second Derivative of Locus of Cycloid
- Set of all Sets
- Set of Gödel Numbers of Arithmetic Theorems Not Definable in Arithmetic
- Simple Infinite Continued Fraction Converges
- Solution to Legendre's Differential Equation
- Definition:Spanning Subgraph
- Spectrum of Ring is Nonempty
- Square of Vandermonde's Matrix
- Subspace of Real Continuous Functions
- Sufficient Condition for Vector Equals Inverse iff Zero