# Category:Equivalence Proofs

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## Subcategories

This category has the following 6 subcategories, out of 6 total.

## Pages in category "Equivalence Proofs"

The following 83 pages are in this category, out of 83 total.

### B

### C

- Characterisation of UFDs
- Characterization of Closed Ball in P-adic Numbers
- Characterization of Continuous Linear Functionals on Topological Vector Space
- Characterization of Continuous Linear Transformations between Locally Convex Spaces
- Characterization of Essentially Bounded Functions
- Characterization of Fineness of Topology in terms of Topological Bases
- Characterization of Hyperplanes
- Characterization of Measures that Share Null Sets
- Characterization of Open Ball in P-adic Numbers
- Characterization of P-adic Unit has Square Root in P-adic Units
- Characterization of Stopping Times with respect to Right-Limit Filtration
- Characterization of Strictly Increasing Mapping on Woset
- Characterizing Property of Infimum of Subset of Real Numbers
- Characterizing Property of Supremum of Subset of Real Numbers
- Components are Open iff Union of Open Connected Sets
- Congruence Modulo a Principal Ideal of P-adic Integers
- Congruence Modulo Equivalence for Integers in P-adic Integers
- Convex Set Characterization (Order Theory)
- Correspondence between Abelian Groups and Z-Modules
- Correspondence between Abelian Groups and Z-Modules/Homomorphisms
- Correspondence Theorem for Localizations of Rings

### E

- Equality of Rational Numbers
- Equivalence Class Equivalent Statements
- Equivalence Class Equivalent Statements/1 iff 2
- Equivalence Class Equivalent Statements/2 iff 3
- Equivalence Class Equivalent Statements/3 iff 4
- Equivalence Class Equivalent Statements/3 iff 5
- Equivalence Class Equivalent Statements/3 iff 6
- Equivalence of Definitions of Matroid Circuit Axioms
- Equivalence of Definitions of Matroid Rank Axioms
- Equivalence of Definitions of Unital Associative Commutative Algebra
- Equivalence of Definitions of Unital Associative Commutative Algebra/Correspondence
- Equivalence of Definitions of Unital Associative Commutative Algebra/Homomorphisms
- Help:Equivalence Proofs
- Equivalent Characterisations of Irrational Periodic Continued Fraction
- Equivalent Characterizations of Abelian Group
- Equivalent Characterizations of Finer Equivalence Relation
- Equivalent Characterizations of Invertible Matrix
- Equivalent Conditions for Element is Loop
- Equivalent Statements for Transitive Set
- Existence of Homomorphism between Localizations of Ring
- Existence of Homomorphism between Localizations of Ring at Elements

### G

### I

### L

- Lefschetz Principle (First-Order)
- User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms
- User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms/Axiom B1 Iff Axiom B3
- User:Leigh.Samphier/Templates/Test
- User:Leigh.Samphier/Templates/Test/CategoryEquivalenceProofs
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 1 implies Condition 2
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 2 implies Condition 3
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 3 implies Condition 4
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 4 implies Condition 5
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 5 implies Condition 6
- User:Leigh.Samphier/Topology/Characterization of Paracompactness in T3 Space/Condition 6 implies Condition 1
- Linear Transformation of Vector Space Equivalent Statements
- Locally Euclidean iff has C0-Atlas
- Logarithm of Convergent Product of Real Numbers
- Logarithm of Divergent Product of Real Numbers
- Logarithm of Divergent Product of Real Numbers/Infinity
- Logarithm of Infinite Product of Complex Numbers
- Logarithm of Infinite Product of Real Numbers