chore: rephrase t2Space_iff_of_continuous_surjective_open #135
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grunweg
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Dec 15, 2025
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Thanks for upstreaming that file! I have one question, which I also asked on the PR. When that one's answered, I'll merge this PR.
| [TopologicalSpace β] {π : α → β} (h : IsOpenQuotientMap π) : | ||
| T2Space β ↔ IsClosed {q : α × α | π q.1 = π q.2} := by | ||
| rw [t2_iff_isClosed_diagonal] | ||
| constructor <;> intro H |
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Follow-up: can you golf this proof using IsOpenQuotientMap.prodMap?
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Thanks! |
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As pointed out in review, the assumptions were equivalent to
IsOpenQuotientMap.