Commit 2024-09-16 17:23 fc1c0e88
View on Github →feat(ModelTheory/Order): The theory of dense linear orders is countably categorical, and thus complete (#16804)
FirstOrder.Language.aleph0_categorical_dlo
shows that the theory of dense linear orders is ℵ₀
-categorical, as a consequence of Fraïssé theory.
As a consequence, it is complete.
To aid in calculations (such as needed for deducing completeness) involving the cardinality of a theory, FirstOrder.Language.Symbols
is made into an abbrev
.