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Adding theorem on connected strongly paracompact spaces #1199

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Merged
prabau merged 3 commits into from
Jan 18, 2025
Merged

Adding theorem on connected strongly paracompact spaces #1199

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theorem 692
pzjp Jan 18, 2025
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mo 2
pzjp Jan 18, 2025
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pzjp Jan 18, 2025
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15 changes: 15 additions & 0 deletions theorems/T000692.md
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---
uid: T000692
if:
and:
- P000036: true
- P000145: true
then:
P000018: true
refs:
- mo: 433812
name: A stronger version of paracompactness
---

Follows from the fact that every star-finite open cover of a connected space is countable. See {{mo:433812}}.