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Theorems · Theorem · general topology

Compactum.le_nhds_of_str_eq

∀ {X : Compactum} (F : Ultrafilter X.A) (x : X.A), X.str F = x → ↑F ≤ nhds x
Defined in
Mathlib.Topology.Category.Compactum
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Compactum.cl_eq_closure · cited by 0Compactum.cl_eq_closureCompactum.continuous_of_hom · cited by 0Compactum.continuous_of_h…Set · cited by 53352SetFilter · cited by 8121Filternhds · cited by 5554nhdsIsOpen · cited by 2400IsOpenUltrafilter · cited by 193UltrafilterUltrafilter.toFilter · cited by 172Ultrafilter.toFilterCategoryTheory.Monad.Algebra.A · cited by 81Algebra.ACategoryTheory.ofTypeMonad · cited by 21CategoryTheory.ofTypeMonadCompactum · cited by 10CompactumCompactum.str · cited by 9Compactum.strle_nhds_iff · cited by 4le_nhds_iffCompactum.le_nhds_of_str_eqCITED BYCITES

Cites11

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Cited by2

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