Theorems · Theorem · general topology
isDenseEmbedding_pure
∀ {α : Type u}, IsDenseEmbedding purepure : α → Ultrafilter α defines a dense embedding of α in Ultrafilter α.
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- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Bot.botstatement · cited by 4,720
- Ultrafilterstatement · cited by 193
- IsDenseInducingproof · cited by 56
- IsDenseEmbeddingstatement · cited by 24
- isDenseInducing_pureproof · cited by 4
- Ultrafilter.pure_injectiveproof · cited by 1
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