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                        \near F, P F
https://github.com/math-comp/analysis/blob/ceb11bd28d7a43f63238cd0f9039953059f097a3/theories/topology.v#L133
~~should be \forall y \near x, P y~~ taken care of by PR #782
It also looks like \forall x \near F, P x always displays as \near F, P F
(unless F is a composed expression such as nbhs X or f @ X or a defined expression such as \oo).
side question: would it be bad to get rid of the \near F, P F?