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Commit 2022-07-26 11:31 a095eaeb

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feat(order/filter/*): filter.pi is countably generated (#15632)

  • rename filter.has_basis_infi to filter.has_basis_infi', add new filter.has_basis_infi;
  • move prod.is_countably_generated, golf, add coprod.is_countably_generated;
  • is_countably_generated_seq is no longer an instance, infi.is_countably_generated is better;
  • add infi.is_countably_generated and pi.is_countably_generated;
  • prove prod.fist_countable_topology (from the sphere eversion project) and pi.first_countable_topology;
  • generalize pi.second_countable_topology from encodable to countable so that it automatically applies to finite types.

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