Theorems · Theorem · general topology
isDenseInducing_pure
∀ {α : Type u}, IsDenseInducing purepure : α → Ultrafilter α defines a dense inducing of α in Ultrafilter α.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- IsDenseInducingstatement · cited by 56
- denseRange_pureproof · cited by 2
- induced_topology_pureproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Ultrafilter.extendproof · cited by 6
- ultrafilter_extend_extendsproof · cited by 4
- continuous_ultrafilter_extendproof · cited by 2
- ultrafilter_extend_eq_iffproof · cited by 1
- isDenseEmbedding_pureproof · cited by 0