Homotopy Type Theory
generalized Cauchy real numbers > history (Rev #2)
Definition
Let be a dense integral subdomain of the rational numbers and let be the positive terms of .
The generalized Cauchy real numbers are inductively generated by the following:
-
a function , where
is the type of all Cauchy nets with index type and values in .
-
a dependent family of terms
where and are directed types and the equivalence relation on Cauchy nets is defined as
-
a term
See also
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