Here we collect articles about doing analysis in HoTT.
Analysis is the study of convergence and limits of nets, sequences, filters, and functions. Real analysis is about the study of convergence and limits of nets, sequences, filters, and functions in Archimedean ordered fields and sequentially Cauchy complete Archimedean ordered fields.
…what are the necessary requirements for the existence of an inverse: that the field be sequentially Cauchy complete, as the Banach fixed point theorem used to prove the inverse function theorem requires the metric to be sequentially Cauchy complete.
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