Pages that link to "Definition:Totally Ordered Set"
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The following pages link to Definition:Totally Ordered Set:
Displayed 50 items.
- Totally Ordered Set is Lattice (← links)
- Strictly Monotone Mapping with Totally Ordered Domain is Injective (← links)
- Mapping from Totally Ordered Set is Order Embedding iff Strictly Increasing (← links)
- Finite Totally Ordered Set is Well-Ordered (← links)
- Subset of Well-Ordered Set is Well-Ordered (← links)
- Strict Lower Closure of Sum with One (← links)
- Well-Ordering Principle (← links)
- Equality of Natural Numbers (← links)
- Finite Non-Empty Subset of Totally Ordered Set has Smallest and Greatest Elements (← links)
- Unique Isomorphism between Equivalent Finite Totally Ordered Sets (← links)
- Strictly Increasing Sequence on Ordered Set (← links)
- Associativity on Indexing Set (← links)
- Dedekind's Theorem (← links)
- Zorn's Lemma (← links)
- Antilexicographic Product of Totally Ordered Sets is Totally Ordered (← links)
- Natural Number Multiplication Distributes over Addition (← links)
- Dual of Total Ordering is Total Ordering (← links)
- Order Isomorphism on Totally Ordered Set preserves Total Ordering (← links)
- Order Isomorphism on Well-Ordered Set preserves Well-Ordering (← links)
- Cardinality of Set of Strictly Increasing Mappings (← links)
- Cardinals are Totally Ordered (← links)
- Relation is Antisymmetric iff Intersection with Inverse is Coreflexive (← links)
- Min Operation on Toset forms Semigroup (← links)
- Max Semigroup is Commutative (← links)
- Minimal Element in Toset is Unique and Smallest (← links)
- Maximal Element in Toset is Unique and Greatest (← links)
- Max Semigroup is Idempotent (← links)
- Max Semigroup on Toset forms Semilattice (← links)
- Max Operation Yields Supremum of Parameters (← links)
- Min Operation Yields Infimum of Parameters (← links)
- Subset of Toset is Toset (← links)
- Axiom of Choice implies Zorn's Lemma (← links)
- Max Operation on Toset forms Semigroup (← links)
- Min Semigroup on Toset forms Semilattice (← links)
- Min Semigroup is Commutative (← links)
- Min Semigroup is Idempotent (← links)
- Max Operation on Woset is Monoid (← links)
- Set of Chains is Closed under Chain Unions under Subset Relation (← links)
- Totally Ordered Set is Well-Ordered iff Subsets Contain Infima (← links)
- Order Isomorphism iff Strictly Increasing Surjection (← links)
- Intersection of Strict Upper Closures in Toset (← links)
- Intersection of Weak Upper Closures in Toset (← links)
- Intersection of Weak Lower Closures in Toset (← links)
- Intersection of Strict Lower Closures in Toset (← links)
- Intermediate Value Theorem (Topology) (← links)
- Condition for Power Set to be Totally Ordered (← links)
- Number of Permutations/Proof 1 (← links)
- Ordering on Multiindices is Partial Order (← links)
- Antilexicographic Product of Totally Ordered Sets is Totally Ordered/General Result (← links)
- Upper Closure is Strict Upper Closure of Immediate Predecessor (← links)