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Mathematical Components compliant Analysis Library

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See [this line](https://github.com/math-comp/analysis/blob/3edd010fa7b101f449c6f364e0dfacb51b546496/theories/cauchyetoile.v#L196), for topological zmodtype.

question :question:

This issue was opened at the end of a discussion (at least with @CohenCyril) where we felt the need for an inclusion of closed sets as a field of the...

I think there should be spec lemma for `bigO` to avoid these patterns: `have /bigOFP [_/posnumP[c1] kOg] := bigOP [bigO of k]`

enhancement :sparkles:
renaming/refactoring :wrench:

In `derive.v`, we should formalize the theorem that derive + continuous partial derivatives implies differentiability

wish :pray:

- Make the notation f = g +o_e stable (e.g. by putting a definition) https://github.com/math-comp/analysis/blob/1566e324cd4b56d09a1660521d1c31c3e2ec83da/landau.v#L199 - Remove the "'the" tag which makes things unreadable https://github.com/math-comp/analysis/blob/1566e324cd4b56d09a1660521d1c31c3e2ec83da/landau.v#L135 ...

renaming/refactoring :wrench:

There is a `ringType` decaration for function types in topology.v, which I have recently found useful for some projects (namely affeldt-aist/infotheo and ieva-itu/robustmean) with no topology. Unfortunately, importing topology conflicts...

kind: enhancement

Because it's fun.

enhancement :sparkles:
experiment :test_tube:
TODO: MC2 port

##### Motivation for this change A generally useful result that doesn't require any machinery beyond geometric series. The proof is not too long, thankfully. 1. There is some nasty geometric...

Long story short, I want to work with modules over the complex numbers, but have the norms live in the real numbers. Things like `infs` and `sups` are defined only...