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topology.(at_point, principal_filter) are the same #1268

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t6s opened this issue Jul 25, 2024 · 0 comments
Open

topology.(at_point, principal_filter) are the same #1268

t6s opened this issue Jul 25, 2024 · 0 comments
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t6s commented Jul 25, 2024

Do we need to keep both?

Lemma at_pointE T (t : T) : at_point t = principal_filter t.
Proof.
by apply:funext=> S; apply: propext; split=> [? ? -> | /(_ t erefl)].
Qed.
@t6s t6s changed the title filter.(at_point, principal_filter) are the same topology.(at_point, principal_filter) are the same Jul 25, 2024
@affeldt-aist affeldt-aist added the question ❓ There is an unanswered question here label Jul 25, 2024
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