Theorems · Theorem · general topology
CompactT2.projective_iff_extremallyDisconnected
∀ {A : Type u} [inst : TopologicalSpace A] [CompactSpace A] [T2Space A],
CompactT2.Projective A ↔ ExtremallyDisconnected A- Defined in
- Mathlib.Topology.ExtremallyDisconnected
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- T2Spacestatement and proof · cited by 1,351
- CompactSpacestatement and proof · cited by 593
- ExtremallyDisconnectedstatement and proof · cited by 23
- CompactT2.Projectivestatement · cited by 4
- CompactT2.ExtremallyDisconnected.projectiveproof · cited by 1
- CompactT2.Projective.extremallyDisconnectedproof · cited by 1
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