Linked from

The 18 pages that link to Transitive relation, each with the reason it gives.

• Equivalence relationBroader topic: Transitivity ensures that elements linked through an intermediate element remain equivalent.

• SubsetRelated: If A is a subset of B and B of C, every element of A belongs to C.

• Partial orderRelated: Transitivity carries comparisons through chains of related elements.

• Partially ordered setRelated: Transitivity makes chains of comparisons consistent.

• Binary relationBroader topic: Transitivity governs what follows when two relational steps can be chained.

• Preference relationRelated: Transitivity rules out preference cycles across three options.

• Arrow's impossibility theoremRelated: Transitivity makes the social ranking coherent across chains of pairwise comparisons.

• Reflexive relationCompared with: Transitivity links successive pairs; it does not guarantee any self-pairs.

• Total orderRelated: Transitivity ensures that comparisons compose consistently.

• Zeroth law of thermodynamicsNarrower topic: The law asserts transitivity for thermal equilibrium.

• PreorderBroader topic: Transitivity is the other defining condition of a preorder.

• Antisymmetric relationRelated: Transitivity combines with antisymmetry to define partial orders.

• Symmetric relationRelated: Transitivity is a separate condition often studied alongside symmetry.

• Transitive closureRelated: The closure is the smallest transitive relation containing the original relation.

• Condorcet paradoxRelated: Each voter can rank options transitively while the majority relation is not transitive.

• Equivalence classRelated: Transitivity prevents one class from splitting into inconsistent chains of equivalent elements.

• Equality relationBroader topic: Equality chains across two related pairs to relate their outer elements.

• Connected relationCompared with: Connectedness compares pairs but does not impose this chain condition.