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[Merged by Bors] - feat(topology,analysis): any function is continuous/differentiable on a subsingleton #12293

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Commits on Feb 25, 2022

  1. feat(topology,analysis): any function is continuous/differentiable on…

    … a subsingleton
    
    Also add supporting lemmas about `is_o`/`is_O` and the `pure` filter
    and drop an unneeded assumption in `asymptotics.is_o_const_const_iff`.
    urkud committed Feb 25, 2022
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  2. Fix

    urkud committed Feb 25, 2022
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