Category:Preorder Theory
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This category contains results about Preorder Theory.
Definitions specific to this category can be found in Definitions/Preorder Theory.
$\RR$ is a preordering on $S$ if and only if $\RR$ satifies the preordering axioms:
\((1)\) | $:$ | $\RR$ is reflexive | \(\ds \forall a \in S:\) | \(\ds a \mathrel \RR a \) | |||||
\((2)\) | $:$ | $\RR$ is transitive | \(\ds \forall a, b, c \in S:\) | \(\ds a \mathrel \RR b \land b \mathrel \RR c \implies a \mathrel \RR c \) |
Subcategories
This category has the following 4 subcategories, out of 4 total.
D
- Directed Preorderings (2 P)
P
Pages in category "Preorder Theory"
The following 21 pages are in this category, out of 21 total.