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Here we collect articles about doing analysis in HoTT.

Real analysis is about the study of convergence and limits of sequences and functions in Archimedean ordered fields and sequentially Cauchy complete Archimedean ordered fields.

â€¦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.

- sequence
- sequential convergence space
- limit of a sequence
- sequentially Hausdorff space
- Cauchy sequence
- sequentially Cauchy complete Archimedean ordered field
- real numbers
- pointwise continuous function
- uniformly continuous function

- sequentially Cauchy complete Archimedean ordered field
- real numbers
- real vector space
- real Clifford algebra
- real geometric algebra

to be moved

- differentiable function
- Newton-Leibniz operator
- derivative
- inverse image
- iterated inverse image
- infinitely iterated inverse image
- iterated differentiable function
- smooth function
- antiderivative
- real vector space
- partial derivative
- directionally differentiable function
- directional derivative
- real Clifford algebra
- real geometric algebra
- geometric derivative?