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Let be a dense integral subdomain of the rational numbers and let be the positive terms of . Let be a -premetric space, and let be a net with index type . A -modulus of Cauchy convergence is a function with a type
Let be the rational numbers and let
The composition of a net and a -modulus of Cauchy convergence is also a net.
be the positive rational numbers. Let be a premetric space, and let be a net with index set . A modulus of Cauchy convergence is a function such that
The composition of a net and a modulus of Cauchy convergence is also a net.
Let be the rational numbers and let
be the positive rational numbers. Let be a premetric space, and let be a net with index type . A modulus of Cauchy convergence is a function with a type
The composition of a net and a modulus of Cauchy convergence is also a net.
Auke B. Booij, Analysis in univalent type theory (pdf)
Univalent Foundations Project, Homotopy Type Theory – Univalent Foundations of Mathematics (2013)