Pages that link to "Definition:Ordered Set"
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The following pages link to Definition:Ordered Set:
Displayed 50 items.
- Identity Mapping is Order Isomorphism (← links)
- Inverse of Order Isomorphism is Order Isomorphism (← links)
- Composite of Order Isomorphisms is Order Isomorphism (← links)
- Order Isomorphism is Equivalence Relation (← links)
- Dual Ordering is Ordering (← links)
- Supremum and Infimum are Unique (← links)
- Trichotomy Law (Ordering) (← links)
- Strictly Increasing Mapping is Increasing (← links)
- Strictly Decreasing Mapping is Decreasing (← links)
- Order Embedding into Image is Isomorphism (← links)
- Strictly Monotone Mapping with Totally Ordered Domain is Injective (← links)
- Mapping from Totally Ordered Set is Order Embedding iff Strictly Increasing (← links)
- Integers under Addition form Totally Ordered Group (← links)
- Ideals Containing Ideal Form Lattice (← links)
- Ideals Containing Ideal Isomorphic to Quotient Ring (← links)
- Maximal Ideal iff Quotient Ring is Field (← links)
- Supremum of Subset (← links)
- Infimum of Subset (← links)
- Subset Relation on Power Set is Partial Ordering (← links)
- Ordering is Equivalent to Subset Relation (← links)
- Subset Relation is Ordering (← links)
- Zorn's Lemma (← links)
- Mapping is Constant iff Increasing and Decreasing (← links)
- Lower Bound for Subset (← links)
- Upper Bound for Subset (← links)
- Order Embedding is Injection (← links)
- Order Isomorphism is Surjective Order Embedding (← links)
- Infimum of Power Set (← links)
- Supremum of Power Set (← links)
- Dominance Relation is Ordering (← links)
- Equivalence of Definitions of Well-Ordering/Definition 1 implies Definition 2 (← links)
- Upper Bound is Lower Bound for Inverse Ordering (← links)
- Dual of Lattice Ordering is Lattice Ordering (← links)
- Order Isomorphism on Totally Ordered Set preserves Total Ordering (← links)
- Order Isomorphism on Well-Ordered Set preserves Well-Ordering (← links)
- Order Isomorphism on Lattice preserves Lattice Structure (← links)
- Supremum does not Precede Infimum (← links)
- Increasing Union of Ideals is Ideal (← links)
- Hahn-Banach Theorem/Real Vector Space (← links)
- Trichotomy Law (← links)
- Finitely Satisfiable Theory has Maximal Finitely Satisfiable Extension (← links)
- Subset of Natural Numbers is Cofinal iff Infinite (← links)
- Strictly Precedes is Strict Ordering (← links)
- Smallest Element is Unique (← links)
- Greatest Element is Unique (← links)
- Smallest Element is Lower Bound (← links)
- Greatest Element is Upper Bound (← links)
- Intersection of Subset with Lower Bounds (← links)
- Intersection of Subset with Upper Bounds (← links)
- Greatest Element is Maximal (← links)