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[Merged by Bors] - feat(order/filter/*): filter.pi
is countably generated
#15632
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* 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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* 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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feat(order/filter/*):
[Merged by Bors] - feat(order/filter/*): Jul 26, 2022
filter.pi
is countably generatedfilter.pi
is countably generated
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Jul 30, 2022
…community#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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* 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.
khwilson
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* 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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Most of the changes from the following Mathlib PRs: leanprover-community/mathlib#15619 chore(*): Rename normed_group to normed_add_comm_group leanprover-community/mathlib#15625 refactor(*): rename nondiscrete_normed_field leanprover-community/mathlib#15632 feat(order/filter/*): filter.pi is countably generated leanprover-community/mathlib#15634 feat(topology/metric_space/lipschitz): add several lemmas leanprover-community/mathlib#15627 fix(*): fix typos I made yesterday leanprover-community/mathlib#15523 feat(geometry/manifold/smooth_manifold_with_corners): properties to prove smoothness of mfderiv leanprover-community/mathlib#15640 chore(topology/locally_finite): move from topology.basic
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Most of the changes from the following Mathlib PRs: leanprover-community/mathlib#15619 chore(*): Rename normed_group to normed_add_comm_group leanprover-community/mathlib#15625 refactor(*): rename nondiscrete_normed_field leanprover-community/mathlib#15632 feat(order/filter/*): filter.pi is countably generated leanprover-community/mathlib#15634 feat(topology/metric_space/lipschitz): add several lemmas leanprover-community/mathlib#15627 fix(*): fix typos I made yesterday leanprover-community/mathlib#15523 feat(geometry/manifold/smooth_manifold_with_corners): properties to prove smoothness of mfderiv leanprover-community/mathlib#15640 chore(topology/locally_finite): move from topology.basic
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Topological spaces, uniform spaces, metric spaces, filters
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filter.has_basis_infi
tofilter.has_basis_infi'
, add newfilter.has_basis_infi
;prod.is_countably_generated
, golf, addcoprod.is_countably_generated
;is_countably_generated_seq
is no longer an instance,infi.is_countably_generated
is better;infi.is_countably_generated
andpi.is_countably_generated
;prod.fist_countable_topology
(from the sphere eversion project) andpi.first_countable_topology
;pi.second_countable_topology
fromencodable
tocountable
so that it automatically applies to finite types.