# Category:Pages with Questionable Content

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These are pages containing proofs that are of questionable validity.

See the questionable template.

## Pages in category "Pages with Questionable Content"

The following 138 pages are in this category, out of 138 total.

### A

### B

### C

- Cantor-Bernstein-Schröder Theorem/Proof 4
- Cardinality of Infinite Sigma-Algebra is at Least Cardinality of Continuum
- Cardinality of Infinite Sigma-Algebra is at Least Cardinality of Continuum/Proof 1
- Cauchy's Group Theorem/Proof 1
- Central Subgroup is Normal
- Central Subgroup is Normal/Proof 1
- Centralizer of Self-Inverse Element of Non-Abelian Finite Simple Group is not That Group
- Chain Rule for Probability
- Characteristic of Subfield of Complex Numbers is Zero
- Characterization of Lower Semicontinuity
- Charles Babbage's Conjecture
- Chu-Vandermonde Identity/Extended
- Class Equality Extension of Set Equality
- Class of All Ordinals is Ordinal
- Closure of Cartesian Product is Product of Closures
- Closure of Complement of Closure is Regular Closed
- Definition:Coefficient of Polynomial
- Definition:Collation/Unique Readability
- Completely Multiplicative Function is Multiplicative
- Composite of Mapping with Inverse of Another is Identity implies Mappings are Equal
- Conjunction with Tautology/Proof 1
- Axiom:Content Axioms
- Continued Fraction Algorithm
- Continued Fraction Algorithm/Proof 1
- Convergents are Best Approximations
- Conversion of Number in Golden Mean Number System to Simplest Form

### D

### E

- Elementary Symmetric Function/Examples/m = 0
- Equality implies Substitution
- Equidistance is Independent of Betweenness
- Equivalence of Definitions of Countable Set
- Existence and Uniqueness Theorem for 1st Order IVPs
- Existence of Abscissa of Convergence
- Expectation of Linear Transformation of Random Variable
- Expectation of Linear Transformation of Random Variable/Continuous
- Exponential Tends to Zero and Infinity

### F

### H

### I

### L

- L'Hôpital's Rule/Corollary 2
- Definition:Leading Coefficient of Polynomial
- Lebesgue Integral is Extension of Darboux Integral
- Limit at Infinity of Polynomial over Complex Exponential
- Logarithm of Infinite Product of Complex Functions/Corollary
- Logarithmic Derivative of Infinite Product of Analytic Functions

### M

### O

### P

- Partition Topology is T3 1/2
- Power of 2 is Difference between Two Powers
- Prime Number Theorem
- Principle of Finite Induction
- Principle of Finite Induction/Proof 2
- Principle of Recursive Definition for Minimally Inductive Set
- Product of Two Distinct Primes has 4 Positive Divisors
- Proper Subset of Finite Ordinal is Equivalent to Smaller Ordinal

### R

- Definition:Rational Number/Fraction
- Definition:Rational Number/Geometrical Definition
- Definition:Real Algebra
- Riesz-Markov-Kakutani Representation Theorem
- Riesz-Markov-Kakutani Representation Theorem/Construction of mu and M
- Riesz-Markov-Kakutani Representation Theorem/Lemma 1
- Riesz-Markov-Kakutani Representation Theorem/Lemma 2
- Riesz-Markov-Kakutani Representation Theorem/Lemma 3
- Riesz-Markov-Kakutani Representation Theorem/Lemma 4
- Riesz-Markov-Kakutani Representation Theorem/Lemma 5
- Riesz-Markov-Kakutani Representation Theorem/Lemma 6
- Riesz-Markov-Kakutani Representation Theorem/Lemma 7
- Riesz-Markov-Kakutani Representation Theorem/Lemma 8
- Riesz-Markov-Kakutani Representation Theorem/Lemma 9
- Riesz-Markov-Kakutani Representation Theorem/Notation
- Rule of Sequent Introduction

### S

- Set of Gödel Numbers of Arithmetic Theorems Not Definable in Arithmetic
- Solution to Legendre's Differential Equation
- Definition:Spanning Subgraph
- Square of Vandermonde Matrix
- Straight Line Segment is Shortest Path between Two Points
- Subgroup Product is Internal Group Direct Product iff Surjective
- Sufficient Condition for Vector Equals Inverse iff Zero
- Sum of Reciprocals of Squares of Odd Integers
- Sum of Reciprocals of Squares of Odd Integers/Proof 5
- Surjection Induced by Powerset is Induced by Surjection